104947890576480 has 864 divisors, whose sum is σ = 436505449214016. Its totient is φ = 23339702071296.

The previous prime is 104947890576469. The next prime is 104947890576497. The reversal of 104947890576480 is 84675098749401.

104947890576480 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 4 + 7 + 8 + 9 + 0 + 576 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×104947890576480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 104947890576399 and 104947890576408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 271694842 + ... + 272080838.

It is an arithmetic number, because the mean of its divisors is an integer number (505214640294).

Almost surely, 2^{104947890576480} is an apocalyptic number.

104947890576480 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 104947890576480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218252724607008).

104947890576480 is an abundant number, since it is smaller than the sum of its proper divisors (331557558637536).

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

104947890576480 is an frugal number, since it uses more digits than its factorization.

104947890576480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386080 (or 386051 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 104947890576480 in words is "one hundred four trillion, nine hundred forty-seven billion, eight hundred ninety million, five hundred seventy-six thousand, four hundred eighty".