57535605144072 has 1536 divisors, whose sum is σ = 194803207372800. Its totient is φ = 15134515200000.

The previous prime is 57535605144049. The next prime is 57535605144133. The reversal of 57535605144072 is 27044150653575.

It is a happy number.

57535605144072 is a `hidden beast` number, since 5 + 7 + 5 + 3 + 56 + 0 + 514 + 4 + 0 + 72 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 140673851004 + ... + 140673851412.

It is an arithmetic number, because the mean of its divisors is an integer number (126825004800).

Almost surely, 2^{57535605144072} 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 57535605144072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97401603686400).

57535605144072 is an abundant number, since it is smaller than the sum of its proper divisors (137267602228728).

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

57535605144072 is a wasteful number, since it uses less digits than its factorization.

57535605144072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 54.

The spelling of 57535605144072 in words is "fifty-seven trillion, five hundred thirty-five billion, six hundred five million, one hundred forty-four thousand, seventy-two".