61165057501504 has 224 divisors, whose sum is σ = 142977877315200. Its totient is φ = 25650388008960.

The previous prime is 61165057501501. The next prime is 61165057501523. The reversal of 61165057501504 is 40510575056116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61165057501501) 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 31 ways as a sum of consecutive naturals, for example, 249134842 + ... + 249380230.

Almost surely, 2^{61165057501504} is an apocalyptic number.

61165057501504 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 61165057501504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71488938657600).

61165057501504 is an abundant number, since it is smaller than the sum of its proper divisors (81812819813696).

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

61165057501504 is a wasteful number, since it uses less digits than its factorization.

61165057501504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245841 (or 245831 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 46.

The spelling of 61165057501504 in words is "sixty-one trillion, one hundred sixty-five billion, fifty-seven million, five hundred one thousand, five hundred four".