20002661446950 has 1152 divisors, whose sum is σ = 71719649648640. Its totient is φ = 4058841830400.

The previous prime is 20002661446939. The next prime is 20002661446951. The reversal of 20002661446950 is 5964416620002.

20002661446950 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 26 + 614 + 4 + 6 + 9 + 5 + 0 = 666.

It is a super-2 number, since 2×20002661446950² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20002661446896 and 20002661446905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002661446951) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4451958904 + ... + 4451963396.

It is an arithmetic number, because the mean of its divisors is an integer number (62256640320).

Almost surely, 2^{20002661446950} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20002661446950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35859824824320).

20002661446950 is an abundant number, since it is smaller than the sum of its proper divisors (51716988201690).

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

20002661446950 is a wasteful number, since it uses less digits than its factorization.

20002661446950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4739 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 20002661446950 in words is "twenty trillion, two billion, six hundred sixty-one million, four hundred forty-six thousand, nine hundred fifty".