61099315200 has 1872 divisors, whose sum is σ = 291785699520. Its totient is φ = 12386304000.

The previous prime is 61099315169. The next prime is 61099315217. The reversal of 61099315200 is 251399016.

61099315200 is a `hidden beast` number, since 6 + 10 + 99 + 31 + 520 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 1490227180 + ... + 1490227220.

Almost surely, 2^61099315200 is an apocalyptic number.

61099315200 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 61099315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145892849760).

61099315200 is an abundant number, since it is smaller than the sum of its proper divisors (230686384320).

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

61099315200 is a wasteful number, since it uses less digits than its factorization.

61099315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 61099315200 in words is "sixty-one billion, ninety-nine million, three hundred fifteen thousand, two hundred".