10232864888400 has 1440 divisors, whose sum is σ = 44952732364800. Its totient is φ = 2093921280000.

The previous prime is 10232864888399. The next prime is 10232864888429. The reversal of 10232864888400 is 488846823201.

10232864888400 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 2 + 86 + 488 + 84 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 5681767500 + ... + 5681769300.

Almost surely, 2^{10232864888400} is an apocalyptic number.

10232864888400 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 10232864888400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22476366182400).

10232864888400 is an abundant number, since it is smaller than the sum of its proper divisors (34719867476400).

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

10232864888400 is a wasteful number, since it uses less digits than its factorization.

10232864888400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 10232864888400 in words is "ten trillion, two hundred thirty-two billion, eight hundred sixty-four million, eight hundred eighty-eight thousand, four hundred".