61588947774816 has 960 divisors, whose sum is σ = 228024640166400. Its totient is φ = 15842051850240.

The previous prime is 61588947774803. The next prime is 61588947774833. The reversal of 61588947774816 is 61847774988516.

61588947774816 is a `hidden beast` number, since 6 + 1 + 58 + 89 + 4 + 7 + 7 + 7 + 481 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10497516715 + ... + 10497522581.

It is an arithmetic number, because the mean of its divisors is an integer number (237525666840).

Almost surely, 2^{61588947774816} is an apocalyptic number.

61588947774816 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 61588947774816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114012320083200).

61588947774816 is an abundant number, since it is smaller than the sum of its proper divisors (166435692391584).

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

61588947774816 is a wasteful number, since it uses less digits than its factorization.

61588947774816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409 (or 6392 counting only the distinct ones).

The product of its digits is 4551966720, while the sum is 81.

The spelling of 61588947774816 in words is "sixty-one trillion, five hundred eighty-eight billion, nine hundred forty-seven million, seven hundred seventy-four thousand, eight hundred sixteen".