5021663400 has 288 divisors, whose sum is σ = 18438507360. Its totient is φ = 1217272320.

The previous prime is 5021663359. The next prime is 5021663407. The reversal of 5021663400 is 43661205.

5021663400 is a `hidden beast` number, since 5 + 0 + 21 + 6 + 634 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (5021663407) by changing a digit.

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, 1566199 + ... + 1569401.

It is an arithmetic number, because the mean of its divisors is an integer number (64022595).

Almost surely, 2^5021663400 is an apocalyptic number.

5021663400 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 5021663400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9219253680).

5021663400 is an abundant number, since it is smaller than the sum of its proper divisors (13416843960).

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

5021663400 is a wasteful number, since it uses less digits than its factorization.

5021663400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5021663400 is about 70863.6959239356. The cubic root of 5021663400 is about 1712.4419814468.

The spelling of 5021663400 in words is "five billion, twenty-one million, six hundred sixty-three thousand, four hundred".