61117701120 has 880 divisors, whose sum is σ = 257515220160. Its totient is φ = 13568311296.

The previous prime is 61117701089. The next prime is 61117701149. The reversal of 61117701120 is 2110771116.

61117701120 is a `hidden beast` number, since 611 + 17 + 7 + 0 + 11 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 107412196 + ... + 107412764.

It is an arithmetic number, because the mean of its divisors is an integer number (292630932).

Almost surely, 2^61117701120 is an apocalyptic number.

61117701120 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 61117701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128757610080).

61117701120 is an abundant number, since it is smaller than the sum of its proper divisors (196397519040).

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

61117701120 is a wasteful number, since it uses less digits than its factorization.

61117701120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 27.

The spelling of 61117701120 in words is "sixty-one billion, one hundred seventeen million, seven hundred one thousand, one hundred twenty".