57350072416 has 384 divisors, whose sum is σ = 156338380800. Its totient is φ = 20065812480.

The previous prime is 57350072393. The next prime is 57350072419. The reversal of 57350072416 is 61427005375.

It is a super-2 number, since 2×57350072416² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57350072419) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49739296 + ... + 49740448.

It is an arithmetic number, because the mean of its divisors is an integer number (407131200).

Almost surely, 2^57350072416 is an apocalyptic number.

57350072416 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 57350072416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78169190400).

57350072416 is an abundant number, since it is smaller than the sum of its proper divisors (98988308384).

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

57350072416 is a wasteful number, since it uses less digits than its factorization.

57350072416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The spelling of 57350072416 in words is "fifty-seven billion, three hundred fifty million, seventy-two thousand, four hundred sixteen".