5706554400 has 432 divisors, whose sum is σ = 21364132608. Its totient is φ = 1430784000.

The previous prime is 5706554389. The next prime is 5706554459. The reversal of 5706554400 is 44556075.

It is a happy number.

5706554400 is a `hidden beast` number, since 57 + 0 + 65 + 544 + 0 + 0 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8258055 + ... + 8258745.

Almost surely, 2^5706554400 is an apocalyptic number.

5706554400 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 5706554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10682066304).

5706554400 is an abundant number, since it is smaller than the sum of its proper divisors (15657578208).

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

5706554400 is a wasteful number, since it uses less digits than its factorization.

5706554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 5706554400 is about 75541.7394557472. The cubic root of 5706554400 is about 1787.0004172186. Note that the first 3 decimals are identical.

The spelling of 5706554400 in words is "five billion, seven hundred six million, five hundred fifty-four thousand, four hundred".