896151132800 has 768 divisors, whose sum is σ = 2891514931200. Its totient is φ = 266262528000.

The previous prime is 896151132757. The next prime is 896151132853. The reversal of 896151132800 is 8231151698.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 593084045 + ... + 593085555.

It is an arithmetic number, because the mean of its divisors is an integer number (3764993400).

Almost surely, 2^896151132800 is an apocalyptic number.

896151132800 is a gapful number since it is divisible by the number (80) 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 896151132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445757465600).

896151132800 is an abundant number, since it is smaller than the sum of its proper divisors (1995363798400).

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

896151132800 is a wasteful number, since it uses less digits than its factorization.

896151132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 44.

The spelling of 896151132800 in words is "eight hundred ninety-six billion, one hundred fifty-one million, one hundred thirty-two thousand, eight hundred".