82511745840 has 60 divisors (see below), whose sum is σ = 277101948864. Its totient is φ = 22003132032.

The previous prime is 82511745839. The next prime is 82511745871. The reversal of 82511745840 is 4854711528.

82511745840 is a `hidden beast` number, since 8 + 2 + 51 + 17 + 4 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57299104 + ... + 57300543.

Almost surely, 2^82511745840 is an apocalyptic number.

82511745840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82511745840 is an abundant number, since it is smaller than the sum of its proper divisors (194590203024).

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

82511745840 is a wasteful number, since it uses less digits than its factorization.

82511745840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114599666 (or 114599657 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 82511745840 in words is "eighty-two billion, five hundred eleven million, seven hundred forty-five thousand, eight hundred forty".