61315500115800 has 1152 divisors, whose sum is σ = 248747807692800. Its totient is φ = 13238671380480.

The previous prime is 61315500115783. The next prime is 61315500115847. The reversal of 61315500115800 is 851100551316.

It is a happy number.

61315500115800 is a `hidden beast` number, since 6 + 1 + 3 + 15 + 50 + 0 + 11 + 580 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7107391087 + ... + 7107399713.

It is an arithmetic number, because the mean of its divisors is an integer number (215926916400).

Almost surely, 2^{61315500115800} is an apocalyptic number.

61315500115800 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 61315500115800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124373903846400).

61315500115800 is an abundant number, since it is smaller than the sum of its proper divisors (187432307577000).

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

61315500115800 is a wasteful number, since it uses less digits than its factorization.

61315500115800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9105 (or 9093 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The spelling of 61315500115800 in words is "sixty-one trillion, three hundred fifteen billion, five hundred million, one hundred fifteen thousand, eight hundred".