5656147200 has 648 divisors, whose sum is σ = 22537307520. Its totient is φ = 1341849600.

The previous prime is 5656147187. The next prime is 5656147219. The reversal of 5656147200 is 27416565.

It is a happy number.

5656147200 is a `hidden beast` number, since 56 + 561 + 47 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×5656147200² = 63984002296135680000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50054344 + ... + 50054456.

Almost surely, 2^5656147200 is an apocalyptic number.

5656147200 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 5656147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11268653760).

5656147200 is an abundant number, since it is smaller than the sum of its proper divisors (16881160320).

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

5656147200 is a wasteful number, since it uses less digits than its factorization.

5656147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5656147200 is about 75207.3613418261. The cubic root of 5656147200 is about 1781.7231976427.

The spelling of 5656147200 in words is "five billion, six hundred fifty-six million, one hundred forty-seven thousand, two hundred".