65876082272 has 576 divisors, whose sum is σ = 187149053952. Its totient is φ = 22170931200.

The previous prime is 65876082269. The next prime is 65876082281. The reversal of 65876082272 is 27228067856.

65876082272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 404147663 + ... + 404147825.

It is an arithmetic number, because the mean of its divisors is an integer number (324911552).

Almost surely, 2^65876082272 is an apocalyptic number.

65876082272 is a gapful number since it is divisible by the number (62) 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 65876082272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93574526976).

65876082272 is an abundant number, since it is smaller than the sum of its proper divisors (121272971680).

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

65876082272 is a wasteful number, since it uses less digits than its factorization.

65876082272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 53.

The spelling of 65876082272 in words is "sixty-five billion, eight hundred seventy-six million, eighty-two thousand, two hundred seventy-two".