61516515104 has 96 divisors (see below), whose sum is σ = 133022736000. Its totient is φ = 27771863040.

The previous prime is 61516515097. The next prime is 61516515113. The reversal of 61516515104 is 40151561516.

It is a happy number.

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, 39712922 + ... + 39714470.

It is an arithmetic number, because the mean of its divisors is an integer number (1385653500).

Almost surely, 2^61516515104 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 61516515104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66511368000).

61516515104 is an abundant number, since it is smaller than the sum of its proper divisors (71506220896).

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

61516515104 is a wasteful number, since it uses less digits than its factorization.

61516515104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 35.

The spelling of 61516515104 in words is "sixty-one billion, five hundred sixteen million, five hundred fifteen thousand, one hundred four".