5096091218400 has 1728 divisors, whose sum is σ = 23408251776000. Its totient is φ = 1075036354560.

The previous prime is 5096091218399. The next prime is 5096091218411. The reversal of 5096091218400 is 48121906905.

5096091218400 is a `hidden beast` number, since 50 + 96 + 0 + 91 + 21 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 866826661 + ... + 866832539.

It is an arithmetic number, because the mean of its divisors is an integer number (13546442000).

Almost surely, 2^{5096091218400} is an apocalyptic number.

5096091218400 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 5096091218400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11704125888000).

5096091218400 is an abundant number, since it is smaller than the sum of its proper divisors (18312160557600).

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

5096091218400 is a wasteful number, since it uses less digits than its factorization.

5096091218400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5948 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 5096091218400 in words is "five trillion, ninety-six billion, ninety-one million, two hundred eighteen thousand, four hundred".