896415763200 has 432 divisors, whose sum is σ = 3092836379136. Its totient is φ = 228217651200.

The previous prime is 896415763193. The next prime is 896415763249. The reversal of 896415763200 is 2367514698.

It is a super-2 number, since 2×896415763200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278647992 + ... + 278651208.

It is a 2-persistent number, because it is pandigital, and so is 2⋅896415763200 = 1792831526400, but 3⋅896415763200 = 2689247289600 is not.

Almost surely, 2^896415763200 is an apocalyptic number.

896415763200 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 896415763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546418189568).

896415763200 is an abundant number, since it is smaller than the sum of its proper divisors (2196420615936).

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

896415763200 is a wasteful number, since it uses less digits than its factorization.

896415763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 896415763200 in words is "eight hundred ninety-six billion, four hundred fifteen million, seven hundred sixty-three thousand, two hundred".