5574096000 has 1280 divisors, whose sum is σ = 24952561920. Its totient is φ = 1216512000.

The previous prime is 5574095971. The next prime is 5574096007. The reversal of 5574096000 is 6904755.

5574096000 is a `hidden beast` number, since 5 + 5 + 7 + 40 + 9 + 600 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5574096007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 242351989 + ... + 242352011.

It is an arithmetic number, because the mean of its divisors is an integer number (19494189).

Almost surely, 2^5574096000 is an apocalyptic number.

5574096000 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 5574096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12476280960).

5574096000 is an abundant number, since it is smaller than the sum of its proper divisors (19378465920).

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

5574096000 is a wasteful number, since it uses less digits than its factorization.

5574096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5574096000 is about 74659.8687381648. The cubic root of 5574096000 is about 1773.0656438544.

The spelling of 5574096000 in words is "five billion, five hundred seventy-four million, ninety-six thousand".