61860159526464 has 336 divisors, whose sum is σ = 193602526720512. Its totient is φ = 18769618722816.

The previous prime is 61860159526379. The next prime is 61860159526469. The reversal of 61860159526464 is 46462595106816.

61860159526464 is a `hidden beast` number, since 6 + 1 + 8 + 60 + 1 + 5 + 9 + 526 + 46 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (61860159526469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5415398257 + ... + 5415409679.

It is an arithmetic number, because the mean of its divisors is an integer number (576197996192).

Almost surely, 2^{61860159526464} is an apocalyptic number.

61860159526464 is a gapful number since it is divisible by the number (64) 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 61860159526464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96801263360256).

61860159526464 is an abundant number, since it is smaller than the sum of its proper divisors (131742367194048).

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

61860159526464 is a wasteful number, since it uses less digits than its factorization.

61860159526464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21434 (or 21421 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 61860159526464 in words is "sixty-one trillion, eight hundred sixty billion, one hundred fifty-nine million, five hundred twenty-six thousand, four hundred sixty-four".