5194108800 has 480 divisors, whose sum is σ = 19857043800. Its totient is φ = 1335398400.

The previous prime is 5194108789. The next prime is 5194108841. The reversal of 5194108800 is 88014915.

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

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

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 7516455 + ... + 7517145.

Almost surely, 2^5194108800 is an apocalyptic number.

5194108800 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 5194108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9928521900).

5194108800 is an abundant number, since it is smaller than the sum of its proper divisors (14662935000).

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

5194108800 is a wasteful number, since it uses less digits than its factorization.

5194108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 5194108800 is about 72070.1658108263. The cubic root of 5194108800 is about 1731.8237086043.

The spelling of 5194108800 in words is "five billion, one hundred ninety-four million, one hundred eight thousand, eight hundred".