82114560000 has 1050 divisors, whose sum is σ = 335651910132. Its totient is φ = 19906560000.

The previous prime is 82114559971. The next prime is 82114560001. The reversal of 82114560000 is 6541128.

82114560000 is a `hidden beast` number, since 8 + 2 + 11 + 45 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (82114560001) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 7464959995 + ... + 7464960005.

Almost surely, 2^82114560000 is an apocalyptic number.

82114560000 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 82114560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167825955066).

82114560000 is an abundant number, since it is smaller than the sum of its proper divisors (253537350132).

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

82114560000 is an frugal number, since it uses more digits than its factorization.

82114560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 82114560000 in words is "eighty-two billion, one hundred fourteen million, five hundred sixty thousand".