104235651532800 has 576 divisors, whose sum is σ = 384820544908800. Its totient is φ = 27655004160000.

The previous prime is 104235651532799. The next prime is 104235651532807. The reversal of 104235651532800 is 8235156532401.

It is a happy number.

104235651532800 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 3 + 56 + 515 + 3 + 2 + 80 + 0 = 666.

104235651532800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (104235651532807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272141425 + ... + 272524175.

It is an arithmetic number, because the mean of its divisors is an integer number (668091223800).

Almost surely, 2^{104235651532800} is an apocalyptic number.

104235651532800 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 104235651532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192410272454400).

104235651532800 is an abundant number, since it is smaller than the sum of its proper divisors (280584893376000).

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

104235651532800 is a wasteful number, since it uses less digits than its factorization.

104235651532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382989 (or 382958 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 104235651532800 in words is "one hundred four trillion, two hundred thirty-five billion, six hundred fifty-one million, five hundred thirty-two thousand, eight hundred".