56814270912000 has 3200 divisors, whose sum is σ = 257822916848640. Its totient is φ = 12189981081600.

The previous prime is 56814270911977. The next prime is 56814270912053. The reversal of 56814270912000 is 21907241865.

56814270912000 is a `hidden beast` number, since 568 + 1 + 4 + 2 + 70 + 9 + 12 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a super-2 number, since 2×56814270912000² (a number of 28 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 319 ways as a sum of consecutive naturals, for example, 149905727811 + ... + 149905728189.

Almost surely, 2^{56814270912000} is an apocalyptic number.

56814270912000 is a gapful number since it is divisible by the number (50) 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 56814270912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128911458424320).

56814270912000 is an abundant number, since it is smaller than the sum of its proper divisors (201008645936640).

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

56814270912000 is an frugal number, since it uses more digits than its factorization.

56814270912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 56814270912000 in words is "fifty-six trillion, eight hundred fourteen billion, two hundred seventy million, nine hundred twelve thousand".