104207018415552 has 1120 divisors, whose sum is σ = 359378907148800. Its totient is φ = 29585911799808.

The previous prime is 104207018415547. The next prime is 104207018415607. The reversal of 104207018415552 is 255514810702401.

104207018415552 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 0 + 7 + 0 + 1 + 84 + 15 + 552 = 666.

It is a super-3 number, since 3×104207018415552³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104207018415498 and 104207018415507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9433054893 + ... + 9433065939.

It is an arithmetic number, because the mean of its divisors is an integer number (320874024240).

Almost surely, 2^{104207018415552} is an apocalyptic number.

104207018415552 is a gapful number since it is divisible by the number (12) 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 104207018415552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179689453574400).

104207018415552 is an abundant number, since it is smaller than the sum of its proper divisors (255171888733248).

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

104207018415552 is a wasteful number, since it uses less digits than its factorization.

104207018415552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11295 (or 11276 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 104207018415552 in words is "one hundred four trillion, two hundred seven billion, eighteen million, four hundred fifteen thousand, five hundred fifty-two".