82502038080 has 896 divisors, whose sum is σ = 367585873920. Its totient is φ = 17132083200.

The previous prime is 82502038049. The next prime is 82502038093. The reversal of 82502038080 is 8083020528.

82502038080 is a `hidden beast` number, since 8 + 250 + 20 + 380 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53886915 + ... + 53888445.

Almost surely, 2^82502038080 is an apocalyptic number.

82502038080 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 82502038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183792936960).

82502038080 is an abundant number, since it is smaller than the sum of its proper divisors (285083835840).

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

82502038080 is a wasteful number, since it uses less digits than its factorization.

82502038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 82502038080 in words is "eighty-two billion, five hundred two million, thirty-eight thousand, eighty".