5807972352 has 448 divisors, whose sum is σ = 19816876800. Its totient is φ = 1502871552.

The previous prime is 5807972329. The next prime is 5807972381. The reversal of 5807972352 is 2532797085.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109584358 + ... + 109584410.

It is an arithmetic number, because the mean of its divisors is an integer number (44234100).

Almost surely, 2^5807972352 is an apocalyptic number.

5807972352 is a gapful number since it is divisible by the number (52) 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 5807972352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9908438400).

5807972352 is an abundant number, since it is smaller than the sum of its proper divisors (14008904448).

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

5807972352 is an equidigital number, since it uses as much as digits as its factorization.

5807972352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The square root of 5807972352 is about 76210.0541398574. The cubic root of 5807972352 is about 1797.5246171356.

The spelling of 5807972352 in words is "five billion, eight hundred seven million, nine hundred seventy-two thousand, three hundred fifty-two".