5655002400 has 432 divisors, whose sum is σ = 21585118464. Its totient is φ = 1387683840.

The previous prime is 5655002371. The next prime is 5655002401. The reversal of 5655002400 is 42005565.

5655002400 is a `hidden beast` number, since 5 + 655 + 0 + 0 + 2 + 4 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (5655002401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5752309 + ... + 5753291.

It is an arithmetic number, because the mean of its divisors is an integer number (49965552).

Almost surely, 2^5655002400 is an apocalyptic number.

5655002400 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 5655002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10792559232).

5655002400 is an abundant number, since it is smaller than the sum of its proper divisors (15930116064).

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

5655002400 is a wasteful number, since it uses less digits than its factorization.

5655002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5655002400 is about 75199.7499995844. The cubic root of 5655002400 is about 1781.6029830471.

Adding to 5655002400 its reverse (42005565), we get a palindrome (5697007965).

The spelling of 5655002400 in words is "five billion, six hundred fifty-five million, two thousand, four hundred".