10164005654400 has 576 divisors, whose sum is σ = 40404156156000. Its totient is φ = 2415633776640.

The previous prime is 10164005654393. The next prime is 10164005654441. The reversal of 10164005654400 is 445650046101.

10164005654400 is a `hidden beast` number, since 1 + 0 + 1 + 64 + 0 + 0 + 56 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10389541 + ... + 11325659.

Almost surely, 2^{10164005654400} is an apocalyptic number.

10164005654400 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 10164005654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20202078078000).

10164005654400 is an abundant number, since it is smaller than the sum of its proper divisors (30240150501600).

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

10164005654400 is a wasteful number, since it uses less digits than its factorization.

10164005654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936191 (or 936171 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10164005654400 in words is "ten trillion, one hundred sixty-four billion, five million, six hundred fifty-four thousand, four hundred".