57509760000 has 880 divisors, whose sum is σ = 239422360320. Its totient is φ = 11919360000.

The previous prime is 57509759999. The next prime is 57509760001. The reversal of 57509760000 is 6790575.

It is an interprime number because it is at equal distance from previous prime (57509759999) and next prime (57509760001).

It is a tau number, because it is divible by the number of its divisors (880).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (57509760001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 147839806 + ... + 147840194.

It is an arithmetic number, because the mean of its divisors is an integer number (272070864).

Almost surely, 2^57509760000 is an apocalyptic number.

57509760000 is a gapful number since it is divisible by the number (50) 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 57509760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119711180160).

57509760000 is an abundant number, since it is smaller than the sum of its proper divisors (181912600320).

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

57509760000 is a wasteful number, since it uses less digits than its factorization.

57509760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The spelling of 57509760000 in words is "fifty-seven billion, five hundred nine million, seven hundred sixty thousand".