82590976000 has 576 divisors, whose sum is σ = 235678584960. Its totient is φ = 28817817600.

The previous prime is 82590975997. The next prime is 82590976003. The reversal of 82590976000 is 67909528.

It is an interprime number because it is at equal distance from previous prime (82590975997) and next prime (82590976003).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (82590976003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995071959 + ... + 995072041.

It is an arithmetic number, because the mean of its divisors is an integer number (409164210).

Almost surely, 2^82590976000 is an apocalyptic number.

82590976000 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 82590976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117839292480).

82590976000 is an abundant number, since it is smaller than the sum of its proper divisors (153087608960).

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

82590976000 is a wasteful number, since it uses less digits than its factorization.

82590976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 82590976000 in words is "eighty-two billion, five hundred ninety million, nine hundred seventy-six thousand".