82898832000 has 512 divisors, whose sum is σ = 282406176000. Its totient is φ = 21505228800.

The previous prime is 82898831947. The next prime is 82898832017. The reversal of 82898832000 is 23889828.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 479183914 + ... + 479184086.

Almost surely, 2^82898832000 is an apocalyptic number.

82898832000 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 82898832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141203088000).

82898832000 is an abundant number, since it is smaller than the sum of its proper divisors (199507344000).

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

82898832000 is a wasteful number, since it uses less digits than its factorization.

82898832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 82898832000 in words is "eighty-two billion, eight hundred ninety-eight million, eight hundred thirty-two thousand".