5983009250400 has 3456 divisors, whose sum is σ = 28486776729600. Its totient is φ = 1206909849600.

The previous prime is 5983009250389. The next prime is 5983009250419. The reversal of 5983009250400 is 40529003895.

5983009250400 is a `hidden beast` number, since 5 + 98 + 300 + 9 + 250 + 4 + 0 + 0 = 666.

It is a super-3 number, since 3×5983009250400³ (a number of 39 digits) contains 333 as substring.

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 polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 72084448759 + ... + 72084448841.

It is an arithmetic number, because the mean of its divisors is an integer number (8242701600).

Almost surely, 2^{5983009250400} is an apocalyptic number.

5983009250400 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 5983009250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14243388364800).

5983009250400 is an abundant number, since it is smaller than the sum of its proper divisors (22503767479200).

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

5983009250400 is a wasteful number, since it uses less digits than its factorization.

5983009250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 5983009250400 in words is "five trillion, nine hundred eighty-three billion, nine million, two hundred fifty thousand, four hundred".