5902093516800 has 1008 divisors, whose sum is σ = 22018676214528. Its totient is φ = 1384120320000.

The previous prime is 5902093516789. The next prime is 5902093516801. The reversal of 5902093516800 is 86153902095.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5902093516800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5902093516801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23514316675 + ... + 23514316925.

It is an arithmetic number, because the mean of its divisors is an integer number (21843924816).

Almost surely, 2^{5902093516800} is an apocalyptic number.

5902093516800 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 5902093516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11009338107264).

5902093516800 is an abundant number, since it is smaller than the sum of its proper divisors (16116582697728).

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

5902093516800 is an equidigital number, since it uses as much as digits as its factorization.

5902093516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 5902093516800 in words is "five trillion, nine hundred two billion, ninety-three million, five hundred sixteen thousand, eight hundred".