57935961342 has 192 divisors, whose sum is σ = 160544047680. Its totient is φ = 15578438400.

The previous prime is 57935961311. The next prime is 57935961353. The reversal of 57935961342 is 24316953975.

57935961342 is a `hidden beast` number, since 5 + 7 + 9 + 3 + 596 + 1 + 3 + 42 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3635592 + ... + 3651492.

It is an arithmetic number, because the mean of its divisors is an integer number (836166915).

Almost surely, 2^57935961342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57935961342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80272023840).

57935961342 is an abundant number, since it is smaller than the sum of its proper divisors (102608086338).

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

57935961342 is a wasteful number, since it uses less digits than its factorization.

57935961342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15955 (or 15930 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 54.

The spelling of 57935961342 in words is "fifty-seven billion, nine hundred thirty-five million, nine hundred sixty-one thousand, three hundred forty-two".