82526976000 has 1728 divisors, whose sum is σ = 374905571040. Its totient is φ = 17340825600.

The previous prime is 82526975987. The next prime is 82526976011. The reversal of 82526976000 is 67962528.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1919231979 + ... + 1919232021.

Almost surely, 2^82526976000 is an apocalyptic number.

82526976000 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 82526976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187452785520).

82526976000 is an abundant number, since it is smaller than the sum of its proper divisors (292378595040).

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

82526976000 is a wasteful number, since it uses less digits than its factorization.

82526976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 82526976000 in words is "eighty-two billion, five hundred twenty-six million, nine hundred seventy-six thousand".