5090346892800 has 1680 divisors, whose sum is σ = 21080229841440. Its totient is φ = 1208965201920.

The previous prime is 5090346892793. The next prime is 5090346892823. The reversal of 5090346892800 is 82986430905.

5090346892800 is a `hidden beast` number, since 5 + 0 + 90 + 3 + 468 + 92 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×5090346892800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3517861677 + ... + 3517863123.

It is an arithmetic number, because the mean of its divisors is an integer number (12547755858).

Almost surely, 2^{5090346892800} is an apocalyptic number.

5090346892800 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 5090346892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10540114920720).

5090346892800 is an abundant number, since it is smaller than the sum of its proper divisors (15989882948640).

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

5090346892800 is a wasteful number, since it uses less digits than its factorization.

5090346892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 5090346892800 in words is "five trillion, ninety billion, three hundred forty-six million, eight hundred ninety-two thousand, eight hundred".