57545759232 has 480 divisors, whose sum is σ = 189677359872. Its totient is φ = 17306763264.

The previous prime is 57545759189. The next prime is 57545759251. The reversal of 57545759232 is 23295754575.

57545759232 is a `hidden beast` number, since 5 + 7 + 5 + 45 + 7 + 592 + 3 + 2 = 666.

57545759232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76017798 + ... + 76018554.

Almost surely, 2^57545759232 is an apocalyptic number.

57545759232 is a gapful number since it is divisible by the number (52) 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 57545759232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94838679936).

57545759232 is an abundant number, since it is smaller than the sum of its proper divisors (132131600640).

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

57545759232 is an equidigital number, since it uses as much as digits as its factorization.

57545759232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 822 counting only the distinct ones).

The product of its digits is 13230000, while the sum is 54.

The spelling of 57545759232 in words is "fifty-seven billion, five hundred forty-five million, seven hundred fifty-nine thousand, two hundred thirty-two".