5572778400 has 288 divisors, whose sum is σ = 23034775680. Its totient is φ = 1273743360.

The previous prime is 5572778377. The next prime is 5572778437. The reversal of 5572778400 is 48772755.

5572778400 is a `hidden beast` number, since 5 + 572 + 7 + 78 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 132772 + ... + 169628.

It is an arithmetic number, because the mean of its divisors is an integer number (79981860).

Almost surely, 2^5572778400 is an apocalyptic number.

5572778400 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 5572778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11517387840).

5572778400 is an abundant number, since it is smaller than the sum of its proper divisors (17461997280).

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

5572778400 is a wasteful number, since it uses less digits than its factorization.

5572778400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36893 (or 36874 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The square root of 5572778400 is about 74651.0441989930. The cubic root of 5572778400 is about 1772.9259276031.

The spelling of 5572778400 in words is "five billion, five hundred seventy-two million, seven hundred seventy-eight thousand, four hundred".