57618270048 has 96 divisors (see below), whose sum is σ = 159451600896. Its totient is φ = 18181582848.

The previous prime is 57618270041. The next prime is 57618270053. The reversal of 57618270048 is 84007281675.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 57618269979 and 57618270006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57618270041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79665 + ... + 348687.

It is an arithmetic number, because the mean of its divisors is an integer number (1660954176).

Almost surely, 2^57618270048 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 57618270048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79725800448).

57618270048 is an abundant number, since it is smaller than the sum of its proper divisors (101833330848).

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

57618270048 is a wasteful number, since it uses less digits than its factorization.

57618270048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269156 (or 269148 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 57618270048 in words is "fifty-seven billion, six hundred eighteen million, two hundred seventy thousand, forty-eight".