57756140000 has 480 divisors, whose sum is σ = 165156757920. Its totient is φ = 19685376000.

The previous prime is 57756139967. The next prime is 57756140011. The reversal of 57756140000 is 4165775.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 322659911 + ... + 322660089.

It is an arithmetic number, because the mean of its divisors is an integer number (344076579).

Almost surely, 2^57756140000 is an apocalyptic number.

57756140000 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 57756140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82578378960).

57756140000 is an abundant number, since it is smaller than the sum of its proper divisors (107400617920).

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

57756140000 is a wasteful number, since it uses less digits than its factorization.

57756140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The spelling of 57756140000 in words is "fifty-seven billion, seven hundred fifty-six million, one hundred forty thousand".