104257552578480 has 640 divisors, whose sum is σ = 417535895040000. Its totient is φ = 23418935156736.

The previous prime is 104257552578469. The next prime is 104257552578533. The reversal of 104257552578480 is 84875255752401.

It is a happy number.

104257552578480 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 5 + 7 + 5 + 52 + 578 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×104257552578480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 305571021 + ... + 305912019.

It is an arithmetic number, because the mean of its divisors is an integer number (652399836000).

Almost surely, 2^{104257552578480} is an apocalyptic number.

104257552578480 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 104257552578480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208767947520000).

104257552578480 is an abundant number, since it is smaller than the sum of its proper divisors (313278342461520).

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

104257552578480 is a wasteful number, since it uses less digits than its factorization.

104257552578480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341378 (or 341366 counting only the distinct ones).

The product of its (nonzero) digits is 125440000, while the sum is 63.

The spelling of 104257552578480 in words is "one hundred four trillion, two hundred fifty-seven billion, five hundred fifty-two million, five hundred seventy-eight thousand, four hundred eighty".