104220024511680 has 672 divisors, whose sum is σ = 463480862906880. Its totient is φ = 21656107745280.

The previous prime is 104220024511667. The next prime is 104220024511693. The reversal of 104220024511680 is 86115420022401.

104220024511680 is a `hidden beast` number, since 1 + 0 + 4 + 220 + 0 + 245 + 116 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (104220024511667) and next prime (104220024511693).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2715585 + ... + 14690624.

It is an arithmetic number, because the mean of its divisors is an integer number (689703665040).

Almost surely, 2^{104220024511680} is an apocalyptic number.

104220024511680 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 104220024511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231740431453440).

104220024511680 is an abundant number, since it is smaller than the sum of its proper divisors (359260838395200).

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

104220024511680 is a wasteful number, since it uses less digits than its factorization.

104220024511680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17406259 (or 17406237 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 104220024511680 in words is "one hundred four trillion, two hundred twenty billion, twenty-four million, five hundred eleven thousand, six hundred eighty".