20641019358960 has 7680 divisors, whose sum is σ = 109159413350400. Its totient is φ = 3511517184000.

The previous prime is 20641019358901. The next prime is 20641019359003. The reversal of 20641019358960 is 6985391014602.

20641019358960 is a `hidden beast` number, since 2 + 0 + 6 + 41 + 0 + 19 + 3 + 589 + 6 + 0 = 666.

It is a super-2 number, since 2×20641019358960² (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 = 20641019358897 and 20641019358906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 503439496540 + ... + 503439496580.

It is an arithmetic number, because the mean of its divisors is an integer number (14213465280).

Almost surely, 2^{20641019358960} is an apocalyptic number.

20641019358960 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 20641019358960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54579706675200).

20641019358960 is an abundant number, since it is smaller than the sum of its proper divisors (88518393991440).

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

20641019358960 is a wasteful number, since it uses less digits than its factorization.

20641019358960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 20641019358960 in words is "twenty trillion, six hundred forty-one billion, nineteen million, three hundred fifty-eight thousand, nine hundred sixty".