57879251136 has 280 divisors, whose sum is σ = 197894996640. Its totient is φ = 16384094208.

The previous prime is 57879251119. The next prime is 57879251141. The reversal of 57879251136 is 63115297875.

57879251136 is a `hidden beast` number, since 5 + 7 + 8 + 7 + 92 + 511 + 36 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3948076 + ... + 3962708.

Almost surely, 2^57879251136 is an apocalyptic number.

57879251136 is a gapful number since it is divisible by the number (56) 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 57879251136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98947498320).

57879251136 is an abundant number, since it is smaller than the sum of its proper divisors (140015745504).

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

57879251136 is a wasteful number, since it uses less digits than its factorization.

57879251136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14773 (or 14754 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The spelling of 57879251136 in words is "fifty-seven billion, eight hundred seventy-nine million, two hundred fifty-one thousand, one hundred thirty-six".