65081701825920 has 4608 divisors, whose sum is σ = 286155476006400. Its totient is φ = 13995904204800.

The previous prime is 65081701825867. The next prime is 65081701825991. The reversal of 65081701825920 is 2952810718056.

65081701825920 is a `hidden beast` number, since 6 + 508 + 1 + 7 + 0 + 1 + 82 + 59 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1513527949419 + ... + 1513527949461.

It is an arithmetic number, because the mean of its divisors is an integer number (62099712675).

Almost surely, 2^{65081701825920} is an apocalyptic number.

65081701825920 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 65081701825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143077738003200).

65081701825920 is an abundant number, since it is smaller than the sum of its proper divisors (221073774180480).

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

65081701825920 is a wasteful number, since it uses less digits than its factorization.

65081701825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 65081701825920 in words is "sixty-five trillion, eighty-one billion, seven hundred one million, eight hundred twenty-five thousand, nine hundred twenty".