57891262464 has 468 divisors, whose sum is σ = 201896879184. Its totient is φ = 16526426112.

The previous prime is 57891262433. The next prime is 57891262493. The reversal of 57891262464 is 46426219875.

57891262464 is a `hidden beast` number, since 5 + 7 + 8 + 9 + 1 + 2 + 624 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 57891262464.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48770479 + ... + 48771665.

It is an arithmetic number, because the mean of its divisors is an integer number (431403588).

Almost surely, 2^57891262464 is an apocalyptic number.

57891262464 is a gapful number since it is divisible by the number (54) 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 57891262464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100948439592).

57891262464 is an abundant number, since it is smaller than the sum of its proper divisors (144005616720).

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

57891262464 is an equidigital number, since it uses as much as digits as its factorization.

57891262464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1199 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 57891262464 in words is "fifty-seven billion, eight hundred ninety-one million, two hundred sixty-two thousand, four hundred sixty-four".