896874945120 has 768 divisors, whose sum is σ = 4119646003200. Its totient is φ = 176553768960.

The previous prime is 896874945103. The next prime is 896874945143. The reversal of 896874945120 is 21549478698.

896874945120 is a `hidden beast` number, since 8 + 96 + 8 + 7 + 494 + 51 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6249207 + ... + 6391113.

It is an arithmetic number, because the mean of its divisors is an integer number (5364122400).

Almost surely, 2^896874945120 is an apocalyptic number.

896874945120 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 896874945120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059823001600).

896874945120 is an abundant number, since it is smaller than the sum of its proper divisors (3222771058080).

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

896874945120 is a wasteful number, since it uses less digits than its factorization.

896874945120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141968 (or 141954 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 896874945120 in words is "eight hundred ninety-six billion, eight hundred seventy-four million, nine hundred forty-five thousand, one hundred twenty".