10524564400 has 120 divisors (see below), whose sum is σ = 28927791360. Its totient is φ = 3604634880.

The previous prime is 10524564389. The next prime is 10524564409. The reversal of 10524564400 is 446542501.

It is a happy number.

It is a super-2 number, since 2×10524564400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10524564409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4498431 + ... + 4500769.

It is an arithmetic number, because the mean of its divisors is an integer number (241064928).

Almost surely, 2^10524564400 is an apocalyptic number.

10524564400 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 10524564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463895680).

10524564400 is an abundant number, since it is smaller than the sum of its proper divisors (18403226960).

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

10524564400 is a wasteful number, since it uses less digits than its factorization.

10524564400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 10524564400 in words is "ten billion, five hundred twenty-four million, five hundred sixty-four thousand, four hundred".