61122068880768 has 576 divisors, whose sum is σ = 208568317370400. Its totient is φ = 17125167661056.

The previous prime is 61122068880707. The next prime is 61122068880779. The reversal of 61122068880768 is 86708886022116.

61122068880768 is a `hidden beast` number, since 611 + 2 + 2 + 0 + 6 + 8 + 8 + 8 + 0 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7757588253 + ... + 7757596131.

Almost surely, 2^{61122068880768} 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 61122068880768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104284158685200).

61122068880768 is an abundant number, since it is smaller than the sum of its proper divisors (147446248489632).

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

61122068880768 is a wasteful number, since it uses less digits than its factorization.

61122068880768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10559 (or 10537 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 61122068880768 in words is "sixty-one trillion, one hundred twenty-two billion, sixty-eight million, eight hundred eighty thousand, seven hundred sixty-eight".