82139520960 has 784 divisors, whose sum is σ = 349883675136. Its totient is φ = 17958454272.

The previous prime is 82139520949. The next prime is 82139520971. The reversal of 82139520960 is 6902593128.

82139520960 is a `hidden beast` number, since 8 + 2 + 1 + 39 + 520 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (82139520949) and next prime (82139520971).

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 111 ways as a sum of consecutive naturals, for example, 3571283509 + ... + 3571283531.

Almost surely, 2^82139520960 is an apocalyptic number.

82139520960 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 82139520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174941837568).

82139520960 is an abundant number, since it is smaller than the sum of its proper divisors (267744154176).

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

82139520960 is an frugal number, since it uses more digits than its factorization.

82139520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 82139520960 in words is "eighty-two billion, one hundred thirty-nine million, five hundred twenty thousand, nine hundred sixty".