104526899174400 has 528 divisors, whose sum is σ = 364122916293600. Its totient is φ = 26404856791040.

The previous prime is 104526899174359. The next prime is 104526899174473. The reversal of 104526899174400 is 4471998625401.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117598846 + ... + 118484354.

Almost surely, 2^{104526899174400} is an apocalyptic number.

104526899174400 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 104526899174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182061458146800).

104526899174400 is an abundant number, since it is smaller than the sum of its proper divisors (259596017119200).

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

104526899174400 is a wasteful number, since it uses less digits than its factorization.

104526899174400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885624 (or 885601 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 104526899174400 in words is "one hundred four trillion, five hundred twenty-six billion, eight hundred ninety-nine million, one hundred seventy-four thousand, four hundred".