616571552000 has 288 divisors, whose sum is σ = 1631955517920. Its totient is φ = 231675494400.

The previous prime is 616571551951. The next prime is 616571552033. The reversal of 616571552000 is 255175616.

It can be written as a sum of positive squares in 16 ways, for example, as 81988304896 + 534583247104 = 286336^2 + 731152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34327022 + ... + 34344978.

It is an arithmetic number, because the mean of its divisors is an integer number (5666512215).

Almost surely, 2^616571552000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616571552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815977758960).

616571552000 is an abundant number, since it is smaller than the sum of its proper divisors (1015383965920).

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

616571552000 is a wasteful number, since it uses less digits than its factorization.

616571552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18054 (or 18030 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 38.

The spelling of 616571552000 in words is "six hundred sixteen billion, five hundred seventy-one million, five hundred fifty-two thousand".