61109755204800 has 336 divisors, whose sum is σ = 200933467108640. Its totient is φ = 16259996712960.

The previous prime is 61109755204789. The next prime is 61109755204811. The reversal of 61109755204800 is 840255790116.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61109755204789) and next prime (61109755204811).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 61109755204800.

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, 6217286286 + ... + 6217296114.

Almost surely, 2^{61109755204800} is an apocalyptic number.

61109755204800 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 61109755204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100466733554320).

61109755204800 is an abundant number, since it is smaller than the sum of its proper divisors (139823711903840).

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

61109755204800 is a wasteful number, since it uses less digits than its factorization.

61109755204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12580 (or 12565 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 61109755204800 in words is "sixty-one trillion, one hundred nine billion, seven hundred fifty-five million, two hundred four thousand, eight hundred".