61093094400 has 792 divisors, whose sum is σ = 243400745760. Its totient is φ = 15009546240.

The previous prime is 61093094371. The next prime is 61093094401. The reversal of 61093094400 is 449039016.

61093094400 is a `hidden beast` number, since 610 + 9 + 30 + 9 + 4 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×61093094400² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (61093094401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 116812539 + ... + 116813061.

Almost surely, 2^61093094400 is an apocalyptic number.

61093094400 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 61093094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121700372880).

61093094400 is an abundant number, since it is smaller than the sum of its proper divisors (182307651360).

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

61093094400 is a wasteful number, since it uses less digits than its factorization.

61093094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 61093094400 in words is "sixty-one billion, ninety-three million, ninety-four thousand, four hundred".