57669083136 has 672 divisors, whose sum is σ = 211120512480. Its totient is φ = 15458107392.

The previous prime is 57669083111. The next prime is 57669083137. The reversal of 57669083136 is 63138096675.

57669083136 is a `hidden beast` number, since 576 + 6 + 9 + 0 + 8 + 31 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57669083137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184246116 + ... + 184246428.

Almost surely, 2^57669083136 is an apocalyptic number.

57669083136 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 57669083136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105560256240).

57669083136 is an abundant number, since it is smaller than the sum of its proper divisors (153451429344).

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

57669083136 is a wasteful number, since it uses less digits than its factorization.

57669083136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 57669083136 in words is "fifty-seven billion, six hundred sixty-nine million, eighty-three thousand, one hundred thirty-six".