5094158400 has 504 divisors, whose sum is σ = 19547047520. Its totient is φ = 1254113280.

The previous prime is 5094158393. The next prime is 5094158413. The reversal of 5094158400 is 48514905.

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11764584 + ... + 11765016.

Almost surely, 2^5094158400 is an apocalyptic number.

5094158400 is a gapful number since it is divisible by the number (50) 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 5094158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9773523760).

5094158400 is an abundant number, since it is smaller than the sum of its proper divisors (14452889120).

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

5094158400 is a wasteful number, since it uses less digits than its factorization.

5094158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5094158400 is about 71373.3731863641. The cubic root of 5094158400 is about 1720.6431703181.

The spelling of 5094158400 in words is "five billion, ninety-four million, one hundred fifty-eight thousand, four hundred".