104215727616000 has 4992 divisors, whose sum is σ = 495711901181952. Its totient is φ = 19074908160000.

The previous prime is 104215727615971. The next prime is 104215727616029. The reversal of 104215727616000 is 616727512401.

It is an interprime number because it is at equal distance from previous prime (104215727615971) and next prime (104215727616029).

It is a tau number, because it is divible by the number of its divisors (4992).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 247543295790 + ... + 247543296210.

It is an arithmetic number, because the mean of its divisors is an integer number (99301262256).

Almost surely, 2^{104215727616000} is an apocalyptic number.

104215727616000 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 104215727616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247855950590976).

104215727616000 is an abundant number, since it is smaller than the sum of its proper divisors (391496173565952).

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

104215727616000 is a wasteful number, since it uses less digits than its factorization.

104215727616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 104215727616000 in words is "one hundred four trillion, two hundred fifteen billion, seven hundred twenty-seven million, six hundred sixteen thousand".