20962789200 has 240 divisors, whose sum is σ = 77185982400. Its totient is φ = 5397235200.

The previous prime is 20962789163. The next prime is 20962789231. The reversal of 20962789200 is 298726902.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279735 + ... + 346665.

It is an arithmetic number, because the mean of its divisors is an integer number (321608260).

Almost surely, 2^20962789200 is an apocalyptic number.

20962789200 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 20962789200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38592991200).

20962789200 is an abundant number, since it is smaller than the sum of its proper divisors (56223193200).

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

20962789200 is a wasteful number, since it uses less digits than its factorization.

20962789200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66987 (or 66970 counting only the distinct ones).

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

The spelling of 20962789200 in words is "twenty billion, nine hundred sixty-two million, seven hundred eighty-nine thousand, two hundred".