20064201956352 has 220 divisors, whose sum is σ = 60387438017280. Its totient is φ = 6635401887744.

The previous prime is 20064201956327. The next prime is 20064201956429. The reversal of 20064201956352 is 25365910246002.

20064201956352 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 4 + 2 + 0 + 1 + 9 + 5 + 635 + 2 = 666.

It is a super-2 number, since 2×20064201956352² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20064201956298 and 20064201956307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9581524 + ... + 11486252.

It is an arithmetic number, because the mean of its divisors is an integer number (274488354624).

Almost surely, 2^{20064201956352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20064201956352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30193719008640).

20064201956352 is an abundant number, since it is smaller than the sum of its proper divisors (40323236060928).

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

20064201956352 is a wasteful number, since it uses less digits than its factorization.

20064201956352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904888 (or 1904861 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 20064201956352 in words is "twenty trillion, sixty-four billion, two hundred one million, nine hundred fifty-six thousand, three hundred fifty-two".