848800088400 has 120 divisors (see below), whose sum is σ = 2966170536864. Its totient is φ = 205769715200.

The previous prime is 848800088317. The next prime is 848800088407. The reversal of 848800088400 is 4880008848.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 848800088400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (848800088407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32138319 + ... + 32164718.

Almost surely, 2^848800088400 is an apocalyptic number.

848800088400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

848800088400 is an abundant number, since it is smaller than the sum of its proper divisors (2117370448464).

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

848800088400 is a wasteful number, since it uses less digits than its factorization.

848800088400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64303069 (or 64303058 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The spelling of 848800088400 in words is "eight hundred forty-eight billion, eight hundred million, eighty-eight thousand, four hundred".