82520933760 has 1024 divisors, whose sum is σ = 325192320000. Its totient is φ = 19940401152.

The previous prime is 82520933701. The next prime is 82520933771. The reversal of 82520933760 is 6733902528.

82520933760 is a `hidden beast` number, since 8 + 2 + 520 + 93 + 37 + 6 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 771223627 + ... + 771223733.

It is an arithmetic number, because the mean of its divisors is an integer number (317570625).

Almost surely, 2^82520933760 is an apocalyptic number.

82520933760 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 82520933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162596160000).

82520933760 is an abundant number, since it is smaller than the sum of its proper divisors (242671386240).

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

82520933760 is a wasteful number, since it uses less digits than its factorization.

82520933760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 82520933760 in words is "eighty-two billion, five hundred twenty million, nine hundred thirty-three thousand, seven hundred sixty".