10523136400 has 60 divisors (see below), whose sum is σ = 28893533632. Its totient is φ = 3607931520.

The previous prime is 10523136373. The next prime is 10523136401. The reversal of 10523136400 is 463132501.

It is a super-2 number, since 2×10523136400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10523136401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1876332 + ... + 1881931.

Almost surely, 2^10523136400 is an apocalyptic number.

10523136400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10523136400 is an abundant number, since it is smaller than the sum of its proper divisors (18370397232).

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

10523136400 is a wasteful number, since it uses less digits than its factorization.

10523136400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758288 (or 3758277 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 10523136400 its reverse (463132501), we get a palindrome (10986268901).

It can be divided in two parts, 10523136 and 400, that added together give a square (10523536 = 3244²).

The spelling of 10523136400 in words is "ten billion, five hundred twenty-three million, one hundred thirty-six thousand, four hundred".