104892592896 has 1152 divisors, whose sum is σ = 410971545600. Its totient is φ = 25619742720.

The previous prime is 104892592879. The next prime is 104892592897. The reversal of 104892592896 is 698295298401.

104892592896 is a `hidden beast` number, since 10 + 489 + 2 + 59 + 2 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×104892592896² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (104892592897) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 800706751 + ... + 800706881.

Almost surely, 2^104892592896 is an apocalyptic number.

104892592896 is a gapful number since it is divisible by the number (16) 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 104892592896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205485772800).

104892592896 is an abundant number, since it is smaller than the sum of its proper divisors (306078952704).

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

104892592896 is a wasteful number, since it uses less digits than its factorization.

104892592896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 104892592896 in words is "one hundred four billion, eight hundred ninety-two million, five hundred ninety-two thousand, eight hundred ninety-six".