61535111153516 has 192 divisors, whose sum is σ = 149584772736000. Its totient is φ = 21365523809280.

The previous prime is 61535111153513. The next prime is 61535111153557.

61535111153516 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (61535111153513) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2431340270 + ... + 2431365578.

It is an arithmetic number, because the mean of its divisors is an integer number (779087358000).

Almost surely, 2^{61535111153516} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61535111153516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74792386368000).

61535111153516 is an abundant number, since it is smaller than the sum of its proper divisors (88049661582484).

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

61535111153516 is a wasteful number, since it uses less digits than its factorization.

61535111153516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46312 (or 46310 counting only the distinct ones).

The product of its digits is 202500, while the sum is 44.

The spelling of 61535111153516 in words is "sixty-one trillion, five hundred thirty-five billion, one hundred eleven million, one hundred fifty-three thousand, five hundred sixteen".