57585746136 has 128 divisors (see below), whose sum is σ = 159726816000. Its totient is φ = 17226413568.

The previous prime is 57585746111. The next prime is 57585746143. The reversal of 57585746136 is 63164758575.

It is a super-2 number, since 2×57585746136² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 659791 + ... + 741953.

It is an arithmetic number, because the mean of its divisors is an integer number (1247865750).

Almost surely, 2^57585746136 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 57585746136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79863408000).

57585746136 is an abundant number, since it is smaller than the sum of its proper divisors (102141069864).

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

57585746136 is a wasteful number, since it uses less digits than its factorization.

57585746136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82273 (or 82269 counting only the distinct ones).

The product of its digits is 21168000, while the sum is 57.

It can be divided in two parts, 5758574 and 6136, that added together give a triangular number (5764710 = T₃₃₉₅).

The spelling of 57585746136 in words is "fifty-seven billion, five hundred eighty-five million, seven hundred forty-six thousand, one hundred thirty-six".