57200726016 has 416 divisors, whose sum is σ = 199005914880. Its totient is φ = 15893397504.

The previous prime is 57200726003. The next prime is 57200726111. The reversal of 57200726016 is 61062700275.

57200726016 is a `hidden beast` number, since 572 + 0 + 0 + 72 + 6 + 0 + 16 = 666.

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 31 ways as a sum of consecutive naturals, for example, 28642330 + ... + 28644326.

Almost surely, 2^57200726016 is an apocalyptic number.

57200726016 is a gapful number since it is divisible by the number (56) 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 57200726016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99502957440).

57200726016 is an abundant number, since it is smaller than the sum of its proper divisors (141805188864).

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

57200726016 is a wasteful number, since it uses less digits than its factorization.

57200726016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 57200726016 in words is "fifty-seven billion, two hundred million, seven hundred twenty-six thousand, sixteen".