61025584335360 has 320 divisors, whose sum is σ = 196038779143680. Its totient is φ = 16194514452480.

The previous prime is 61025584335349. The next prime is 61025584335407. The reversal of 61025584335360 is 6353348552016.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4191022480 + ... + 4191037040.

It is an arithmetic number, because the mean of its divisors is an integer number (612621184824).

Almost surely, 2^{61025584335360} is an apocalyptic number.

61025584335360 is a gapful number since it is divisible by the number (60) 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 61025584335360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98019389571840).

61025584335360 is an abundant number, since it is smaller than the sum of its proper divisors (135013194808320).

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

61025584335360 is a wasteful number, since it uses less digits than its factorization.

61025584335360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17199 (or 17183 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 51.

The spelling of 61025584335360 in words is "sixty-one trillion, twenty-five billion, five hundred eighty-four million, three hundred thirty-five thousand, three hundred sixty".