57375208501632 has 1536 divisors, whose sum is σ = 203895196876800. Its totient is φ = 15143417856000.

The previous prime is 57375208501621. The next prime is 57375208501657. The reversal of 57375208501632 is 23610580257375.

57375208501632 is a `hidden beast` number, since 5 + 7 + 3 + 7 + 520 + 8 + 50 + 1 + 63 + 2 = 666.

57375208501632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90927429957 + ... + 90927430587.

It is an arithmetic number, because the mean of its divisors is an integer number (132744268800).

Almost surely, 2^{57375208501632} 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 57375208501632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101947598438400).

57375208501632 is an abundant number, since it is smaller than the sum of its proper divisors (146519988375168).

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

57375208501632 is a wasteful number, since it uses less digits than its factorization.

57375208501632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 57375208501632 in words is "fifty-seven trillion, three hundred seventy-five billion, two hundred eight million, five hundred one thousand, six hundred thirty-two".