5490892800 has 420 divisors, whose sum is σ = 20402274156. Its totient is φ = 1459814400.

The previous prime is 5490892793. The next prime is 5490892811. The reversal of 5490892800 is 82980945.

5490892800 is a `hidden beast` number, since 5 + 490 + 89 + 2 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16588635 + ... + 16588965.

Almost surely, 2^5490892800 is an apocalyptic number.

5490892800 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 5490892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10201137078).

5490892800 is an abundant number, since it is smaller than the sum of its proper divisors (14911381356).

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

5490892800 is an equidigital number, since it uses as much as digits as its factorization.

5490892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 5490892800 is about 74100.5587023472. The cubic root of 5490892800 is about 1764.1993388503.

The spelling of 5490892800 in words is "five billion, four hundred ninety million, eight hundred ninety-two thousand, eight hundred".