57775248000 has 512 divisors, whose sum is σ = 225352108800. Its totient is φ = 14498611200.

The previous prime is 57775247953. The next prime is 57775248077. The reversal of 57775248000 is 84257775.

57775248000 is a `hidden beast` number, since 57 + 77 + 52 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7340067 + ... + 7347933.

Almost surely, 2^57775248000 is an apocalyptic number.

57775248000 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 57775248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112676054400).

57775248000 is an abundant number, since it is smaller than the sum of its proper divisors (167576860800).

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

57775248000 is a wasteful number, since it uses less digits than its factorization.

57775248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7922 (or 7894 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The spelling of 57775248000 in words is "fifty-seven billion, seven hundred seventy-five million, two hundred forty-eight thousand".