104851620720 has 960 divisors, whose sum is σ = 457490718720. Its totient is φ = 21605253120.

The previous prime is 104851620701. The next prime is 104851620733. The reversal of 104851620720 is 27026158401.

104851620720 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 5 + 1 + 620 + 7 + 20 = 666.

It is a super-2 number, since 2×104851620720² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 407982832 + ... + 407983088.

It is an arithmetic number, because the mean of its divisors is an integer number (476552832).

Almost surely, 2^104851620720 is an apocalyptic number.

104851620720 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 104851620720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228745359360).

104851620720 is an abundant number, since it is smaller than the sum of its proper divisors (352639098000).

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

104851620720 is a wasteful number, since it uses less digits than its factorization.

104851620720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 104851620720 in words is "one hundred four billion, eight hundred fifty-one million, six hundred twenty thousand, seven hundred twenty".