20775016563840 has 2048 divisors, whose sum is σ = 95206440960000. Its totient is φ = 4154996736000.

The previous prime is 20775016563811. The next prime is 20775016563881. The reversal of 20775016563840 is 4836561057702.

20775016563840 is a `hidden beast` number, since 2 + 0 + 7 + 7 + 501 + 6 + 56 + 3 + 84 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8208223375 + ... + 8208225905.

It is an arithmetic number, because the mean of its divisors is an integer number (46487520000).

Almost surely, 2^{20775016563840} is an apocalyptic number.

20775016563840 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 20775016563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47603220480000).

20775016563840 is an abundant number, since it is smaller than the sum of its proper divisors (74431424396160).

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

20775016563840 is a wasteful number, since it uses less digits than its factorization.

20775016563840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 20775016563840 in words is "twenty trillion, seven hundred seventy-five billion, sixteen million, five hundred sixty-three thousand, eight hundred forty".