5358992400 has 300 divisors, whose sum is σ = 19355205012. Its totient is φ = 1420001280.

The previous prime is 5358992381. The next prime is 5358992417. The reversal of 5358992400 is 42998535.

5358992400 is a `hidden beast` number, since 535 + 8 + 99 + 24 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2509056 + 5356483344 = 1584^2 + 73188^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6252772 + ... + 6253628.

Almost surely, 2^5358992400 is an apocalyptic number.

5358992400 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 5358992400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9677602506).

5358992400 is an abundant number, since it is smaller than the sum of its proper divisors (13996212612).

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

5358992400 is a wasteful number, since it uses less digits than its factorization.

5358992400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5358992400 is about 73205.1391638593. The cubic root of 5358992400 is about 1749.9583554716.

The spelling of 5358992400 in words is "five billion, three hundred fifty-eight million, nine hundred ninety-two thousand, four hundred".