57216131840 has 360 divisors, whose sum is σ = 168704810400. Its totient is φ = 18584487936.

The previous prime is 57216131837. The next prime is 57216131849. The reversal of 57216131840 is 4813161275.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 57216131794 and 57216131803.

It is not an unprimeable number, because it can be changed into a prime (57216131849) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3011375351 + ... + 3011375369.

Almost surely, 2^57216131840 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 57216131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84352405200).

57216131840 is an abundant number, since it is smaller than the sum of its proper divisors (111488678560).

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

57216131840 is an frugal number, since it uses more digits than its factorization.

57216131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 57216131840 in words is "fifty-seven billion, two hundred sixteen million, one hundred thirty-one thousand, eight hundred forty".