61198910656 has 168 divisors, whose sum is σ = 136589871600. Its totient is φ = 27042484224.

The previous prime is 61198910653. The next prime is 61198910713. The reversal of 61198910656 is 65601989116.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (61198910653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104256795 + ... + 104257381.

It is an arithmetic number, because the mean of its divisors is an integer number (813034950).

Almost surely, 2^61198910656 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 61198910656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68294935800).

61198910656 is an abundant number, since it is smaller than the sum of its proper divisors (75390960944).

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

61198910656 is a wasteful number, since it uses less digits than its factorization.

61198910656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 52.

The spelling of 61198910656 in words is "sixty-one billion, one hundred ninety-eight million, nine hundred ten thousand, six hundred fifty-six".