61118668800 has 672 divisors, whose sum is σ = 256780588800. Its totient is φ = 13961134080.

The previous prime is 61118668771. The next prime is 61118668829. The reversal of 61118668800 is 886681116.

It is an interprime number because it is at equal distance from previous prime (61118668771) and next prime (61118668829).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38706411 + ... + 38707989.

Almost surely, 2^61118668800 is an apocalyptic number.

61118668800 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 61118668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128390294400).

61118668800 is an abundant number, since it is smaller than the sum of its proper divisors (195661920000).

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

61118668800 is a wasteful number, since it uses less digits than its factorization.

61118668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 61118668800 in words is "sixty-one billion, one hundred eighteen million, six hundred sixty-eight thousand, eight hundred".