10755302400 has 198 divisors, whose sum is σ = 38509895762. Its totient is φ = 2868019200.

The previous prime is 10755302381. The next prime is 10755302401. The reversal of 10755302400 is 420355701.

It is a happy number.

10755302400 is a `hidden beast` number, since 107 + 5 + 530 + 24 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3634642944 + 7120659456 = 60288^2 + 84384^2 .

It is not an unprimeable number, because it can be changed into a prime (10755302401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 207060 + ... + 253740.

Almost surely, 2^10755302400 is an apocalyptic number.

10755302400 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 10755302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19254947881).

10755302400 is an abundant number, since it is smaller than the sum of its proper divisors (27754593362).

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

10755302400 is a wasteful number, since it uses less digits than its factorization.

10755302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46717 (or 46691 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 10755302400 in words is "ten billion, seven hundred fifty-five million, three hundred two thousand, four hundred".