56270016000 has 960 divisors, whose sum is σ = 225854044416. Its totient is φ = 13350912000.

The previous prime is 56270015993. The next prime is 56270016013. The reversal of 56270016000 is 61007265.

56270016000 is a `hidden beast` number, since 56 + 2 + 7 + 0 + 0 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 525887947 + ... + 525888053.

Almost surely, 2^56270016000 is an apocalyptic number.

56270016000 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 56270016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112927022208).

56270016000 is an abundant number, since it is smaller than the sum of its proper divisors (169584028416).

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

56270016000 is a wasteful number, since it uses less digits than its factorization.

56270016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 56270016000 in words is "fifty-six billion, two hundred seventy million, sixteen thousand".