57119627648000 has 352 divisors, whose sum is σ = 150573059619840. Its totient is φ = 21562789478400.

The previous prime is 57119627647961. The next prime is 57119627648003. The reversal of 57119627648000 is 84672691175.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57119627648003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 639571349 + ... + 639660651.

It is an arithmetic number, because the mean of its divisors is an integer number (427764373920).

Almost surely, 2^{57119627648000} is an apocalyptic number.

57119627648000 is a gapful number since it is divisible by the number (50) 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 57119627648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75286529809920).

57119627648000 is an abundant number, since it is smaller than the sum of its proper divisors (93453431971840).

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

57119627648000 is a wasteful number, since it uses less digits than its factorization.

57119627648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89620 (or 89592 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 56.

The spelling of 57119627648000 in words is "fifty-seven trillion, one hundred nineteen billion, six hundred twenty-seven million, six hundred forty-eight thousand".