20998915200 has 384 divisors, whose sum is σ = 77178096000. Its totient is φ = 5575864320.

The previous prime is 20998915181. The next prime is 20998915241. The reversal of 20998915200 is 251989902.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 31017262 + ... + 31017938.

It is an arithmetic number, because the mean of its divisors is an integer number (200984625).

Almost surely, 2^20998915200 is an apocalyptic number.

20998915200 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 20998915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38589048000).

20998915200 is an abundant number, since it is smaller than the sum of its proper divisors (56179180800).

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

20998915200 is a wasteful number, since it uses less digits than its factorization.

20998915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 20998915200 in words is "twenty billion, nine hundred ninety-eight million, nine hundred fifteen thousand, two hundred".