104056592640 has 1728 divisors, whose sum is σ = 473518338048. Its totient is φ = 18912706560.

The previous prime is 104056592639. The next prime is 104056592681. The reversal of 104056592640 is 46295650401.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 104056592592 and 104056592601.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 972491467 + ... + 972491573.

It is an arithmetic number, because the mean of its divisors is an integer number (274026816).

Almost surely, 2^104056592640 is an apocalyptic number.

104056592640 is a gapful number since it is divisible by the number (10) 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 104056592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236759169024).

104056592640 is an abundant number, since it is smaller than the sum of its proper divisors (369461745408).

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

104056592640 is a wasteful number, since it uses less digits than its factorization.

104056592640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

It can be divided in two parts, 104056 and 592640, that added together give a palindrome (696696).

The spelling of 104056592640 in words is "one hundred four billion, fifty-six million, five hundred ninety-two thousand, six hundred forty".