57617651840 has 128 divisors (see below), whose sum is σ = 158168315520. Its totient is φ = 19660677120.

The previous prime is 57617651807. The next prime is 57617651843. The reversal of 57617651840 is 4815671675.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (57617651843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 914804 + ... + 975756.

It is an arithmetic number, because the mean of its divisors is an integer number (1235689965).

Almost surely, 2^57617651840 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 57617651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79084157760).

57617651840 is an abundant number, since it is smaller than the sum of its proper divisors (100550663680).

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

57617651840 is a wasteful number, since it uses less digits than its factorization.

57617651840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61190 (or 61178 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 50.

The spelling of 57617651840 in words is "fifty-seven billion, six hundred seventeen million, six hundred fifty-one thousand, eight hundred forty".