104252486400 has 864 divisors, whose sum is σ = 422642949120. Its totient is φ = 25011486720.

The previous prime is 104252486381. The next prime is 104252486419. The reversal of 104252486400 is 4684252401.

104252486400 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 5 + 2 + 4 + 8 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104252486381) and next prime (104252486419).

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67564029 + ... + 67565571.

It is an arithmetic number, because the mean of its divisors is an integer number (489170080).

Almost surely, 2^104252486400 is an apocalyptic number.

104252486400 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 104252486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211321474560).

104252486400 is an abundant number, since it is smaller than the sum of its proper divisors (318390462720).

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

104252486400 is a wasteful number, since it uses less digits than its factorization.

104252486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 104252486400 in words is "one hundred four billion, two hundred fifty-two million, four hundred eighty-six thousand, four hundred".