61093008900 has 729 divisors, whose sum is σ = 247158013557. Its totient is φ = 12576009600.

The previous prime is 61093008887. The next prime is 61093008929. The reversal of 61093008900 is 980039016.

The square root of 61093008900 is 247170.

It is a perfect power (a square), and thus also a powerful number.

61093008900 is a `hidden beast` number, since 610 + 9 + 30 + 0 + 8 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21993483204 + 39099525696 = 148302^2 + 197736^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 570962647 + ... + 570962753.

Almost surely, 2^61093008900 is an apocalyptic number.

61093008900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

61093008900 is the 247170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61093008900

61093008900 is an abundant number, since it is smaller than the sum of its proper divisors (186065004657).

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

61093008900 is a wasteful number, since it uses less digits than its factorization.

61093008900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Multiplying 61093008900 by its sum of digits (36), we get a square (2199348320400 = 1483020²).

61093008900 divided by its sum of digits (36) gives a square (1697028025 = 41195²).

Multiplying 61093008900 by its product of nonzero digits (11664), we get a square (712588855809600 = 26694360²).

The spelling of 61093008900 in words is "sixty-one billion, ninety-three million, eight thousand, nine hundred".