10524104400312 has 64 divisors (see below), whose sum is σ = 29233989945600. Its totient is φ = 3507990806880.

The previous prime is 10524104400307. The next prime is 10524104400371. The reversal of 10524104400312 is 21300440142501.

10524104400312 is a `hidden beast` number, since 1 + 0 + 5 + 241 + 0 + 4 + 400 + 3 + 12 = 666.

It is a super-2 number, since 2×10524104400312² (a number of 27 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20108493 + ... + 20625219.

It is an arithmetic number, because the mean of its divisors is an integer number (456781092900).

Almost surely, 2^{10524104400312} is an apocalyptic number.

10524104400312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10524104400312 is an abundant number, since it is smaller than the sum of its proper divisors (18709885545288).

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

10524104400312 is a wasteful number, since it uses less digits than its factorization.

10524104400312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611033 (or 611023 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10524104400312 its reverse (21300440142501), we get a palindrome (31824544542813).

The spelling of 10524104400312 in words is "ten trillion, five hundred twenty-four billion, one hundred four million, four hundred thousand, three hundred twelve".