82659709440 has 1600 divisors, whose sum is σ = 383303467008. Its totient is φ = 16522444800.

The previous prime is 82659709423. The next prime is 82659709463. The reversal of 82659709440 is 4490795628.

82659709440 is a `hidden beast` number, since 8 + 2 + 6 + 597 + 0 + 9 + 4 + 40 = 666.

It is a super-2 number, since 2×82659709440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 494968237 + ... + 494968403.

Almost surely, 2^82659709440 is an apocalyptic number.

82659709440 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 82659709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191651733504).

82659709440 is an abundant number, since it is smaller than the sum of its proper divisors (300643757568).

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

82659709440 is a wasteful number, since it uses less digits than its factorization.

82659709440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 82659709440 in words is "eighty-two billion, six hundred fifty-nine million, seven hundred nine thousand, four hundred forty".