57654449688 has 128 divisors (see below), whose sum is σ = 162951264000. Its totient is φ = 16838545920.

The previous prime is 57654449687. The next prime is 57654449701. The reversal of 57654449688 is 88694445675.

It is a super-2 number, since 2×57654449688² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57654449681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4487658 + ... + 4500486.

It is an arithmetic number, because the mean of its divisors is an integer number (1273056750).

Almost surely, 2^57654449688 is an apocalyptic number.

57654449688 is a gapful number since it is divisible by the number (58) 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 57654449688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81475632000).

57654449688 is an abundant number, since it is smaller than the sum of its proper divisors (105296814312).

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

57654449688 is a wasteful number, since it uses less digits than its factorization.

57654449688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13465 (or 13461 counting only the distinct ones).

The product of its digits is 232243200, while the sum is 66.

The spelling of 57654449688 in words is "fifty-seven billion, six hundred fifty-four million, four hundred forty-nine thousand, six hundred eighty-eight".