896104788480 has 3200 divisors, whose sum is σ = 4106822860800. Its totient is φ = 183936614400.

The previous prime is 896104788433. The next prime is 896104788487. The reversal of 896104788480 is 84887401698.

896104788480 is a `hidden beast` number, since 8 + 9 + 6 + 1 + 0 + 478 + 84 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (896104788487) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 28906606065 + ... + 28906606095.

It is an arithmetic number, because the mean of its divisors is an integer number (1283382144).

Almost surely, 2^896104788480 is an apocalyptic number.

896104788480 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 896104788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053411430400).

896104788480 is an abundant number, since it is smaller than the sum of its proper divisors (3210718072320).

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

896104788480 is a wasteful number, since it uses less digits than its factorization.

896104788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 896104788480 in words is "eight hundred ninety-six billion, one hundred four million, seven hundred eighty-eight thousand, four hundred eighty".