10664912534400 has 1152 divisors, whose sum is σ = 39392465149440. Its totient is φ = 2746191052800.

The previous prime is 10664912534303. The next prime is 10664912534411. The reversal of 10664912534400 is 443521946601.

10664912534400 is a `hidden beast` number, since 1 + 0 + 6 + 64 + 9 + 12 + 534 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×10664912534400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45772156684 + ... + 45772156916.

It is an arithmetic number, because the mean of its divisors is an integer number (34194848220).

Almost surely, 2^{10664912534400} is an apocalyptic number.

10664912534400 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 10664912534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19696232574720).

10664912534400 is an abundant number, since it is smaller than the sum of its proper divisors (28727552615040).

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

10664912534400 is a wasteful number, since it uses less digits than its factorization.

10664912534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 10664912534400 in words is "ten trillion, six hundred sixty-four billion, nine hundred twelve million, five hundred thirty-four thousand, four hundred".