57197629440 has 624 divisors, whose sum is σ = 236655682560. Its totient is φ = 13067550720.

The previous prime is 57197629403. The next prime is 57197629457. The reversal of 57197629440 is 4492679175.

57197629440 is a `hidden beast` number, since 5 + 7 + 1 + 9 + 7 + 629 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27093985 + ... + 27096095.

Almost surely, 2^57197629440 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 57197629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118327841280).

57197629440 is an abundant number, since it is smaller than the sum of its proper divisors (179458053120).

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

57197629440 is a wasteful number, since it uses less digits than its factorization.

57197629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 57197629440 in words is "fifty-seven billion, one hundred ninety-seven million, six hundred twenty-nine thousand, four hundred forty".