20972869763040 has 576 divisors, whose sum is σ = 80999420838336. Its totient is φ = 4906202628096.

The previous prime is 20972869763023. The next prime is 20972869763051. The reversal of 20972869763040 is 4036796827902.

20972869763040 is a `hidden beast` number, since 209 + 7 + 286 + 97 + 63 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×20972869763040² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29431432 + ... + 30135608.

It is an arithmetic number, because the mean of its divisors is an integer number (140623994511).

Almost surely, 2^{20972869763040} is an apocalyptic number.

20972869763040 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 20972869763040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40499710419168).

20972869763040 is an abundant number, since it is smaller than the sum of its proper divisors (60026551075296).

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

20972869763040 is a wasteful number, since it uses less digits than its factorization.

20972869763040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704291 (or 704280 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 20972869763040 in words is "twenty trillion, nine hundred seventy-two billion, eight hundred sixty-nine million, seven hundred sixty-three thousand, forty".