104379770880 has 768 divisors, whose sum is σ = 462686515200. Its totient is φ = 21684879360.

The previous prime is 104379770879. The next prime is 104379770923. The reversal of 104379770880 is 88077973401.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×104379770880² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21286509 + ... + 21291411.

It is an arithmetic number, because the mean of its divisors is an integer number (602456400).

Almost surely, 2^104379770880 is an apocalyptic number.

104379770880 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 104379770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231343257600).

104379770880 is an abundant number, since it is smaller than the sum of its proper divisors (358306744320).

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

104379770880 is a wasteful number, since it uses less digits than its factorization.

104379770880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4957 (or 4931 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 104379770880 in words is "one hundred four billion, three hundred seventy-nine million, seven hundred seventy thousand, eight hundred eighty".