20695165944960 has 512 divisors, whose sum is σ = 72762142924800. Its totient is φ = 4971341463552.

The previous prime is 20695165944923. The next prime is 20695165944991. The reversal of 20695165944960 is 6944956159602.

It is a junction number, because it is equal to n+sod(n) for n = 20695165944891 and 20695165944900.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 407047221 + ... + 407098059.

It is an arithmetic number, because the mean of its divisors is an integer number (142113560400).

Almost surely, 2^{20695165944960} is an apocalyptic number.

20695165944960 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 20695165944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36381071462400).

20695165944960 is an abundant number, since it is smaller than the sum of its proper divisors (52066976979840).

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

20695165944960 is a wasteful number, since it uses less digits than its factorization.

20695165944960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51268 (or 51256 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 66.

The spelling of 20695165944960 in words is "twenty trillion, six hundred ninety-five billion, one hundred sixty-five million, nine hundred forty-four thousand, nine hundred sixty".