896077874700288 has 2016 divisors, whose sum is σ = 3326476352774400. Its totient is φ = 237600623296512.

The previous prime is 896077874700277. The next prime is 896077874700293. The reversal of 896077874700288 is 882007478770698.

896077874700288 is a `hidden beast` number, since 8 + 9 + 60 + 7 + 7 + 8 + 7 + 470 + 0 + 2 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 228649621593 + ... + 228649625511.

It is an arithmetic number, because the mean of its divisors is an integer number (1650037873400).

Almost surely, 2^{896077874700288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 896077874700288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663238176387200).

896077874700288 is an abundant number, since it is smaller than the sum of its proper divisors (2430398478074112).

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

896077874700288 is a wasteful number, since it uses less digits than its factorization.

896077874700288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4075 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 4248502272, while the sum is 81.

The spelling of 896077874700288 in words is "eight hundred ninety-six trillion, seventy-seven billion, eight hundred seventy-four million, seven hundred thousand, two hundred eighty-eight".