8151062400 has 960 divisors, whose sum is σ = 33745496400. Its totient is φ = 1924300800.

The previous prime is 8151062363. The next prime is 8151062417. The reversal of 8151062400 is 42601518.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 138153571 + ... + 138153629.

Almost surely, 2^8151062400 is an apocalyptic number.

8151062400 is a gapful number since it is divisible by the number (80) 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 8151062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16872748200).

8151062400 is an abundant number, since it is smaller than the sum of its proper divisors (25594434000).

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

8151062400 is a wasteful number, since it uses less digits than its factorization.

8151062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8151062400 is about 90283.2343239873. The cubic root of 8151062400 is about 2012.5101186431.

Adding to 8151062400 its reverse (42601518), we get a palindrome (8193663918).

The spelling of 8151062400 in words is "eight billion, one hundred fifty-one million, sixty-two thousand, four hundred".