10004712188400 has 180 divisors, whose sum is σ = 34854227496192. Its totient is φ = 2657541980160.

The previous prime is 10004712188363. The next prime is 10004712188417. The reversal of 10004712188400 is 488121740001.

10004712188400 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 4 + 71 + 2 + 188 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 4481584 + ... + 6331983.

Almost surely, 2^{10004712188400} is an apocalyptic number.

10004712188400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004712188400 is an abundant number, since it is smaller than the sum of its proper divisors (24849515307792).

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

10004712188400 is a wasteful number, since it uses less digits than its factorization.

10004712188400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10813848 (or 10813834 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 10004712188400 in words is "ten trillion, four billion, seven hundred twelve million, one hundred eighty-eight thousand, four hundred".