61080057900 has 216 divisors, whose sum is σ = 196196442624. Its totient is φ = 15886780800.

The previous prime is 61080057887. The next prime is 61080057917. The reversal of 61080057900 is 975008016.

61080057900 is a `hidden beast` number, since 6 + 1 + 0 + 80 + 0 + 579 + 0 + 0 = 666.

61080057900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13152979 + ... + 13157621.

It is an arithmetic number, because the mean of its divisors is an integer number (908316864).

Almost surely, 2^61080057900 is an apocalyptic number.

61080057900 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 61080057900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98098221312).

61080057900 is an abundant number, since it is smaller than the sum of its proper divisors (135116384724).

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

61080057900 is a wasteful number, since it uses less digits than its factorization.

61080057900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5021 (or 5011 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 61080057900 in words is "sixty-one billion, eighty million, fifty-seven thousand, nine hundred".