57748787658744 has 1536 divisors, whose sum is σ = 204480847872000. Its totient is φ = 13170682736640.

The previous prime is 57748787658697. The next prime is 57748787658799. The reversal of 57748787658744 is 44785678784775.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 72457700554 + ... + 72457701350.

It is an arithmetic number, because the mean of its divisors is an integer number (133125552000).

Almost surely, 2^{57748787658744} 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 57748787658744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102240423936000).

57748787658744 is an abundant number, since it is smaller than the sum of its proper divisors (146732060213256).

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

57748787658744 is a wasteful number, since it uses less digits than its factorization.

57748787658744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 974 counting only the distinct ones).

The product of its digits is 82609766400, while the sum is 87.

The spelling of 57748787658744 in words is "fifty-seven trillion, seven hundred forty-eight billion, seven hundred eighty-seven million, six hundred fifty-eight thousand, seven hundred forty-four".