61105965096512 has 112 divisors (see below), whose sum is σ = 142330214915328. Its totient is φ = 25479544965120.

The previous prime is 61105965096437. The next prime is 61105965096523. The reversal of 61105965096512 is 21569056950116.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×61105965096512² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 627535253 + ... + 627632619.

Almost surely, 2^{61105965096512} 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 61105965096512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71165107457664).

61105965096512 is an abundant number, since it is smaller than the sum of its proper divisors (81224249818816).

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

61105965096512 is a wasteful number, since it uses less digits than its factorization.

61105965096512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135284 (or 135274 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 56.

The spelling of 61105965096512 in words is "sixty-one trillion, one hundred five billion, nine hundred sixty-five million, ninety-six thousand, five hundred twelve".