5095094400 has 480 divisors, whose sum is σ = 20522771280. Its totient is φ = 1234483200.

The previous prime is 5095094393. The next prime is 5095094413. The reversal of 5095094400 is 44905905.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×5095094400² = 51919973889822720000, which contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 2850307 + ... + 2852093.

Almost surely, 2^5095094400 is an apocalyptic number.

5095094400 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 5095094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10261385640).

5095094400 is an abundant number, since it is smaller than the sum of its proper divisors (15427676880).

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

5095094400 is a wasteful number, since it uses less digits than its factorization.

5095094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5095094400 is about 71379.9299523332. The cubic root of 5095094400 is about 1720.7485474482.

The spelling of 5095094400 in words is "five billion, ninety-five million, ninety-four thousand, four hundred".