61765655656716 has 288 divisors, whose sum is σ = 175337950971456. Its totient is φ = 18173326080000.

The previous prime is 61765655656667. The next prime is 61765655656739.

61765655656716 is a `hidden beast` number, since 6 + 1 + 7 + 6 + 5 + 6 + 5 + 56 + 567 + 1 + 6 = 666.

61765655656716 is nontrivially palindromic in base 10.

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, 5555958790 + ... + 5555969906.

It is an arithmetic number, because the mean of its divisors is an integer number (608812329762).

Almost surely, 2^{61765655656716} is an apocalyptic number.

61765655656716 is a gapful number since it is divisible by the number (66) 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 61765655656716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87668975485728).

61765655656716 is an abundant number, since it is smaller than the sum of its proper divisors (113572295314740).

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

61765655656716 is a wasteful number, since it uses less digits than its factorization.

61765655656716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13913 (or 13908 counting only the distinct ones).

The product of its digits is 1428840000, while the sum is 72.

The spelling of 61765655656716 in words is "sixty-one trillion, seven hundred sixty-five billion, six hundred fifty-five million, six hundred fifty-six thousand, seven hundred sixteen".