20979226800 has 600 divisors, whose sum is σ = 86635856736. Its totient is φ = 4762644480.

The previous prime is 20979226787. The next prime is 20979226813. The reversal of 20979226800 is 862297902.

It is an interprime number because it is at equal distance from previous prime (20979226787) and next prime (20979226813).

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 52844202 + ... + 52844598.

Almost surely, 2^20979226800 is an apocalyptic number.

20979226800 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 20979226800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43317928368).

20979226800 is an abundant number, since it is smaller than the sum of its proper divisors (65656629936).

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

20979226800 is a wasteful number, since it uses less digits than its factorization.

20979226800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 20979226800 in words is "twenty billion, nine hundred seventy-nine million, two hundred twenty-six thousand, eight hundred".