61047916800 has 216 divisors, whose sum is σ = 216969488064. Its totient is φ = 15027118080.

The previous prime is 61047916757. The next prime is 61047916801. The reversal of 61047916800 is 861974016.

It is not an unprimeable number, because it can be changed into a prime (61047916801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127309 + ... + 371891.

Almost surely, 2^61047916800 is an apocalyptic number.

61047916800 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 61047916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108484744032).

61047916800 is an abundant number, since it is smaller than the sum of its proper divisors (155921571264).

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

61047916800 is a wasteful number, since it uses less digits than its factorization.

61047916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244625 (or 244606 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 61047916800 in words is "sixty-one billion, forty-seven million, nine hundred sixteen thousand, eight hundred".