10523104522400 has 72 divisors (see below), whose sum is σ = 25690315714560. Its totient is φ = 4209112892160.

The previous prime is 10523104522393. The next prime is 10523104522451. The reversal of 10523104522400 is 422540132501.

It is a super-2 number, since 2×10523104522400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28487687 + ... + 28854713.

It is an arithmetic number, because the mean of its divisors is an integer number (356809940480).

Almost surely, 2^{10523104522400} is an apocalyptic number.

10523104522400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10523104522400 is an abundant number, since it is smaller than the sum of its proper divisors (15167211192160).

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

10523104522400 is a wasteful number, since it uses less digits than its factorization.

10523104522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402886 (or 402873 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 10523104522400 its reverse (422540132501), we get a palindrome (10945644654901).

The spelling of 10523104522400 in words is "ten trillion, five hundred twenty-three billion, one hundred four million, five hundred twenty-two thousand, four hundred".