61168699904000 has 832 divisors, whose sum is σ = 167411475399168. Its totient is φ = 22175612928000.

The previous prime is 61168699903837. The next prime is 61168699904051. The reversal of 61168699904000 is 40999686116.

It is a tau number, because it is divible by the number of its divisors (832).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145293823790 + ... + 145293824210.

It is an arithmetic number, because the mean of its divisors is an integer number (201215715624).

Almost surely, 2^{61168699904000} 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 61168699904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83705737699584).

61168699904000 is an abundant number, since it is smaller than the sum of its proper divisors (106242775495168).

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

61168699904000 is a wasteful number, since it uses less digits than its factorization.

61168699904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 59.

The spelling of 61168699904000 in words is "sixty-one trillion, one hundred sixty-eight billion, six hundred ninety-nine million, nine hundred four thousand".