20004993360 has 320 divisors, whose sum is σ = 78440693760. Its totient is φ = 4638712320.

The previous prime is 20004993331. The next prime is 20004993361. The reversal of 20004993360 is 6339940002.

It is a happy number.

20004993360 is a `hidden beast` number, since 200 + 0 + 4 + 9 + 93 + 360 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20004993361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 528177 + ... + 564783.

It is an arithmetic number, because the mean of its divisors is an integer number (245127168).

Almost surely, 2^20004993360 is an apocalyptic number.

20004993360 is a gapful number since it is divisible by the number (20) 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 20004993360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39220346880).

20004993360 is an abundant number, since it is smaller than the sum of its proper divisors (58435700400).

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

20004993360 is a wasteful number, since it uses less digits than its factorization.

20004993360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36663 (or 36651 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 20004993360 in words is "twenty billion, four million, nine hundred ninety-three thousand, three hundred sixty".