57351267072 has 432 divisors, whose sum is σ = 187023301920. Its totient is φ = 16751001600.

The previous prime is 57351267053. The next prime is 57351267091. The reversal of 57351267072 is 27076215375.

57351267072 is a `hidden beast` number, since 5 + 7 + 3 + 512 + 67 + 0 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (57351267053) and next prime (57351267091).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100792804 + ... + 100793372.

It is an arithmetic number, because the mean of its divisors is an integer number (432924310).

Almost surely, 2^57351267072 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 57351267072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93511650960).

57351267072 is an abundant number, since it is smaller than the sum of its proper divisors (129672034848).

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

57351267072 is a wasteful number, since it uses less digits than its factorization.

57351267072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

It can be divided in two parts, 57351 and 267072, that added together give a palindrome (324423).

The spelling of 57351267072 in words is "fifty-seven billion, three hundred fifty-one million, two hundred sixty-seven thousand, seventy-two".