20940978972000 has 288 divisors, whose sum is σ = 72403362761184. Its totient is φ = 5290351488000.

The previous prime is 20940978971993. The next prime is 20940978972037. The reversal of 20940978972000 is 27987904902.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1914990 + ... + 6749010.

It is an arithmetic number, because the mean of its divisors is an integer number (251400565143).

Almost surely, 2^{20940978972000} is an apocalyptic number.

20940978972000 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 20940978972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36201681380592).

20940978972000 is an abundant number, since it is smaller than the sum of its proper divisors (51462383789184).

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

20940978972000 is a wasteful number, since it uses less digits than its factorization.

20940978972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4834087 (or 4834050 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 20940978972000 in words is "twenty trillion, nine hundred forty billion, nine hundred seventy-eight million, nine hundred seventy-two thousand".