57191631120 has 800 divisors, whose sum is σ = 224138154240. Its totient is φ = 13421998080.

The previous prime is 57191631097. The next prime is 57191631121. The reversal of 57191631120 is 2113619175.

It is a happy number.

57191631120 is a `hidden beast` number, since 5 + 7 + 1 + 9 + 1 + 631 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (57191631121) 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 159 ways as a sum of consecutive naturals, for example, 183895765 + ... + 183896075.

Almost surely, 2^57191631120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57191631120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112069077120).

57191631120 is an abundant number, since it is smaller than the sum of its proper divisors (166946523120).

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

57191631120 is a wasteful number, since it uses less digits than its factorization.

57191631120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 57191631120 in words is "fifty-seven billion, one hundred ninety-one million, six hundred thirty-one thousand, one hundred twenty".