104156809236480 has 1664 divisors, whose sum is σ = 448182834462720. Its totient is φ = 19945677127680.

The previous prime is 104156809236437. The next prime is 104156809236497. The reversal of 104156809236480 is 84632908651401.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 104156809236480.

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, 57134836849 + ... + 57134838671.

Almost surely, 2^{104156809236480} is an apocalyptic number.

104156809236480 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 104156809236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224091417231360).

104156809236480 is an abundant number, since it is smaller than the sum of its proper divisors (344026025226240).

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

104156809236480 is a wasteful number, since it uses less digits than its factorization.

104156809236480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 104156809236480 in words is "one hundred four trillion, one hundred fifty-six billion, eight hundred nine million, two hundred thirty-six thousand, four hundred eighty".