12953714400 has 720 divisors, whose sum is σ = 54616660560. Its totient is φ = 2952806400.

The previous prime is 12953714399. The next prime is 12953714401. The reversal of 12953714400 is 441735921.

It is an interprime number because it is at equal distance from previous prime (12953714399) and next prime (12953714401).

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12953714401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12117066 + ... + 12118134.

It is an arithmetic number, because the mean of its divisors is an integer number (75856473).

Almost surely, 2^12953714400 is an apocalyptic number.

12953714400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12953714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27308330280).

12953714400 is an abundant number, since it is smaller than the sum of its proper divisors (41662946160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12953714400 is a wasteful number, since it uses less digits than its factorization.

12953714400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12953714400 in words is "twelve billion, nine hundred fifty-three million, seven hundred fourteen thousand, four hundred".