57620893440 has 576 divisors, whose sum is σ = 219974952960. Its totient is φ = 12689080320.

The previous prime is 57620893417. The next prime is 57620893459. The reversal of 57620893440 is 4439802675.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 57620893440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20822937 + ... + 20825703.

It is an arithmetic number, because the mean of its divisors is an integer number (381900960).

Almost surely, 2^57620893440 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 57620893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109987476480).

57620893440 is an abundant number, since it is smaller than the sum of its proper divisors (162354059520).

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

57620893440 is a wasteful number, since it uses less digits than its factorization.

57620893440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 57620893440 in words is "fifty-seven billion, six hundred twenty million, eight hundred ninety-three thousand, four hundred forty".