5935226400 has 252 divisors, whose sum is σ = 21726253962. Its totient is φ = 1582571520.

The previous prime is 5935226399. The next prime is 5935226413. The reversal of 5935226400 is 46225395.

5935226400 is a `hidden beast` number, since 5 + 9 + 3 + 5 + 2 + 2 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4792515984 + 1142710416 = 69228^2 + 33804^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 41 ways as a sum of consecutive naturals, for example, 578112 + ... + 588288.

Almost surely, 2^5935226400 is an apocalyptic number.

5935226400 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 5935226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10863126981).

5935226400 is an abundant number, since it is smaller than the sum of its proper divisors (15791027562).

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

5935226400 is a wasteful number, since it uses less digits than its factorization.

5935226400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10215 (or 10187 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5935226400 is about 77040.4205595998. The cubic root of 5935226400 is about 1810.5579509597.

Subtracting from 5935226400 its product of nonzero digits (64800), we obtain a square (5935161600 = 77040²).

The spelling of 5935226400 in words is "five billion, nine hundred thirty-five million, two hundred twenty-six thousand, four hundred".