56090920256000 has 1280 divisors, whose sum is σ = 168621140413440. Its totient is φ = 18206215372800.

The previous prime is 56090920255961. The next prime is 56090920256143. The reversal of 56090920256000 is 65202909065.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×56090920256000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 218252607872 + ... + 218252608128.

It is an arithmetic number, because the mean of its divisors is an integer number (131735265948).

Almost surely, 2^{56090920256000} is an apocalyptic number.

56090920256000 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 56090920256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84310570206720).

56090920256000 is an abundant number, since it is smaller than the sum of its proper divisors (112530220157440).

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

56090920256000 is a wasteful number, since it uses less digits than its factorization.

56090920256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 44.

The spelling of 56090920256000 in words is "fifty-six trillion, ninety billion, nine hundred twenty million, two hundred fifty-six thousand".