20945063961360 has 3600 divisors, whose sum is σ = 99724898376576. Its totient is φ = 3990151756800.

The previous prime is 20945063961331. The next prime is 20945063961361. The reversal of 20945063961360 is 6316936054902.

20945063961360 is a `hidden beast` number, since 2 + 0 + 94 + 50 + 63 + 96 + 1 + 360 = 666.

It is a super-2 number, since 2×20945063961360² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20945063961297 and 20945063961306.

It is not an unprimeable number, because it can be changed into a prime (20945063961361) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 675647224545 + ... + 675647224575.

Almost surely, 2^{20945063961360} is an apocalyptic number.

20945063961360 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 20945063961360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49862449188288).

20945063961360 is an abundant number, since it is smaller than the sum of its proper divisors (78779834415216).

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

20945063961360 is a wasteful number, since it uses less digits than its factorization.

20945063961360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 20945063961360 in words is "twenty trillion, nine hundred forty-five billion, sixty-three million, nine hundred sixty-one thousand, three hundred sixty".