61553102688 has 1080 divisors, whose sum is σ = 242206859664. Its totient is φ = 15004154880.

The previous prime is 61553102657. The next prime is 61553102813. The reversal of 61553102688 is 88620135516.

61553102688 is a `hidden beast` number, since 6 + 1 + 553 + 10 + 2 + 6 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 1161379270 + ... + 1161379322.

Almost surely, 2^61553102688 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 61553102688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121103429832).

61553102688 is an abundant number, since it is smaller than the sum of its proper divisors (180653756976).

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

61553102688 is a wasteful number, since it uses less digits than its factorization.

61553102688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 61553102688 in words is "sixty-one billion, five hundred fifty-three million, one hundred two thousand, six hundred eighty-eight".