5983790400 has 1008 divisors, whose sum is σ = 26532230400. Its totient is φ = 1248952320.

The previous prime is 5983790399. The next prime is 5983790447. The reversal of 5983790400 is 40973895.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×5983790400² = 71611495102264320000, which contains 22 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67233556 + ... + 67233644.

Almost surely, 2^5983790400 is an apocalyptic number.

5983790400 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 5983790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13266115200).

5983790400 is an abundant number, since it is smaller than the sum of its proper divisors (20548440000).

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

5983790400 is a wasteful number, since it uses less digits than its factorization.

5983790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 5983790400 is about 77354.9636416436. The cubic root of 5983790400 is about 1815.4827393393.

The spelling of 5983790400 in words is "five billion, nine hundred eighty-three million, seven hundred ninety thousand, four hundred".