896138770800 has 480 divisors, whose sum is σ = 3564399863808. Its totient is φ = 187399618560.

The previous prime is 896138770783. The next prime is 896138770853. The reversal of 896138770800 is 8077831698.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 12303289 + ... + 12375911.

Almost surely, 2^896138770800 is an apocalyptic number.

896138770800 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 896138770800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782199931904).

896138770800 is an abundant number, since it is smaller than the sum of its proper divisors (2668261093008).

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

896138770800 is a wasteful number, since it uses less digits than its factorization.

896138770800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72777 (or 72766 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 896138770800 in words is "eight hundred ninety-six billion, one hundred thirty-eight million, seven hundred seventy thousand, eight hundred".