20578869932544 has 800 divisors, whose sum is σ = 79908505814016. Its totient is φ = 5112744468480.

The previous prime is 20578869932503. The next prime is 20578869932623. The reversal of 20578869932544 is 44523996887502.

20578869932544 is a `hidden beast` number, since 2 + 0 + 5 + 78 + 8 + 6 + 9 + 9 + 3 + 2 + 544 = 666.

It is a super-2 number, since 2×20578869932544² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73306819 + ... + 73587005.

Almost surely, 2^{20578869932544} is an apocalyptic number.

20578869932544 is a gapful number since it is divisible by the number (24) 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 20578869932544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39954252907008).

20578869932544 is an abundant number, since it is smaller than the sum of its proper divisors (59329635881472).

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

20578869932544 is a wasteful number, since it uses less digits than its factorization.

20578869932544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280258 (or 280233 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 20578869932544 in words is "twenty trillion, five hundred seventy-eight billion, eight hundred sixty-nine million, nine hundred thirty-two thousand, five hundred forty-four".