5083801250400 has 432 divisors, whose sum is σ = 18616592305584. Its totient is φ = 1353792890880.

The previous prime is 5083801250399. The next prime is 5083801250431. The reversal of 5083801250400 is 40521083805.

It is a happy number.

5083801250400 is a `hidden beast` number, since 50 + 8 + 3 + 80 + 125 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 142477362 + ... + 142513038.

Almost surely, 2^{5083801250400} is an apocalyptic number.

5083801250400 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 5083801250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9308296152792).

5083801250400 is an abundant number, since it is smaller than the sum of its proper divisors (13532791055184).

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

5083801250400 is a wasteful number, since it uses less digits than its factorization.

5083801250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36445 (or 36420 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 5083801250400 in words is "five trillion, eighty-three billion, eight hundred one million, two hundred fifty thousand, four hundred".