94725388800 has 1080 divisors, whose sum is σ = 400710626316. Its totient is φ = 21304442880.

The previous prime is 94725388783. The next prime is 94725388819. The reversal of 94725388800 is 888352749.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 54218191104 + 40507197696 = 232848^2 + 201264^2 .

It is a super-2 number, since 2×94725388800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 547545514 + ... + 547545686.

Almost surely, 2^94725388800 is an apocalyptic number.

94725388800 is a gapful number since it is divisible by the number (90) 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 94725388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200355313158).

94725388800 is an abundant number, since it is smaller than the sum of its proper divisors (305985237516).

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

94725388800 is a wasteful number, since it uses less digits than its factorization.

94725388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 94725388800 in words is "ninety-four billion, seven hundred twenty-five million, three hundred eighty-eight thousand, eight hundred".