5930380800 has 180 divisors, whose sum is σ = 21223608120. Its totient is φ = 1581404160.

The previous prime is 5930380739. The next prime is 5930380823. The reversal of 5930380800 is 80830395.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 17 ways as a sum of consecutive naturals, for example, 89461 + ... + 140939.

It is an arithmetic number, because the mean of its divisors is an integer number (117908934).

Almost surely, 2^5930380800 is an apocalyptic number.

5930380800 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 5930380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10611804060).

5930380800 is an abundant number, since it is smaller than the sum of its proper divisors (15293227320).

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

5930380800 is a wasteful number, since it uses less digits than its factorization.

5930380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51513 (or 51489 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5930380800 is about 77008.9657117923. The cubic root of 5930380800 is about 1810.0650953869.

The spelling of 5930380800 in words is "five billion, nine hundred thirty million, three hundred eighty thousand, eight hundred".