5035400092800 has 2592 divisors, whose sum is σ = 23624259864660. Its totient is φ = 1016760729600.

The previous prime is 5035400092783. The next prime is 5035400092817. The reversal of 5035400092800 is 82900045305.

It is an interprime number because it is at equal distance from previous prime (5035400092783) and next prime (5035400092817).

It can be written as a sum of positive squares in 6 ways, for example, as 2909426135616 + 2125973957184 = 1705704^2 + 1458072^2 .

It is a super-2 number, since 2×5035400092800² (a number of 26 digits) 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 6317942002 + ... + 6317942798.

Almost surely, 2^{5035400092800} is an apocalyptic number.

5035400092800 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 5035400092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11812129932330).

5035400092800 is an abundant number, since it is smaller than the sum of its proper divisors (18588859771860).

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

5035400092800 is a wasteful number, since it uses less digits than its factorization.

5035400092800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 5035400092800 in words is "five trillion, thirty-five billion, four hundred million, ninety-two thousand, eight hundred".