5353880400 has 360 divisors, whose sum is σ = 20378981376. Its totient is φ = 1290854400.

The previous prime is 5353880381. The next prime is 5353880419. The reversal of 5353880400 is 40883535.

5353880400 is a `hidden beast` number, since 5 + 3 + 538 + 80 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5353880381) and next prime (5353880419).

It is a tau number, because it is divible by the number of its divisors (360).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13978609 + ... + 13978991.

Almost surely, 2^5353880400 is an apocalyptic number.

5353880400 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 5353880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10189490688).

5353880400 is an abundant number, since it is smaller than the sum of its proper divisors (15025100976).

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

5353880400 is a wasteful number, since it uses less digits than its factorization.

5353880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5353880400 is about 73170.2152518359. The cubic root of 5353880400 is about 1749.4017438024.

The spelling of 5353880400 in words is "five billion, three hundred fifty-three million, eight hundred eighty thousand, four hundred".