65125831680 has 1408 divisors, whose sum is σ = 295805583360. Its totient is φ = 13217955840.

The previous prime is 65125831651. The next prime is 65125831703. The reversal of 65125831680 is 8613852156.

65125831680 is a `hidden beast` number, since 6 + 5 + 1 + 2 + 583 + 1 + 68 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 389974957 + ... + 389975123.

Almost surely, 2^65125831680 is an apocalyptic number.

65125831680 is a gapful number since it is divisible by the number (60) 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 65125831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147902791680).

65125831680 is an abundant number, since it is smaller than the sum of its proper divisors (230679751680).

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

65125831680 is a wasteful number, since it uses less digits than its factorization.

65125831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 65125831680 in words is "sixty-five billion, one hundred twenty-five million, eight hundred thirty-one thousand, six hundred eighty".