61516209198720 has 256 divisors, whose sum is σ = 202426378076160. Its totient is φ = 15873722880000.

The previous prime is 61516209198713. The next prime is 61516209198721. The reversal of 61516209198720 is 2789190261516.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (61516209198721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 768422695 + ... + 768502745.

It is an arithmetic number, because the mean of its divisors is an integer number (790728039360).

Almost surely, 2^{61516209198720} is an apocalyptic number.

61516209198720 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 61516209198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101213189038080).

61516209198720 is an abundant number, since it is smaller than the sum of its proper divisors (140910168877440).

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

61516209198720 is a wasteful number, since it uses less digits than its factorization.

61516209198720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93015 (or 93003 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 57.

The spelling of 61516209198720 in words is "sixty-one trillion, five hundred sixteen billion, two hundred nine million, one hundred ninety-eight thousand, seven hundred twenty".