20379879894528 has 1920 divisors, whose sum is σ = 80985726581760. Its totient is φ = 4970588405760.

The previous prime is 20379879894497. The next prime is 20379879894547. The reversal of 20379879894528 is 82549897897302.

20379879894528 is a `hidden beast` number, since 2 + 0 + 3 + 7 + 9 + 8 + 7 + 9 + 89 + 4 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47066697000 + ... + 47066697432.

It is an arithmetic number, because the mean of its divisors is an integer number (42180065928).

Almost surely, 2^{20379879894528} is an apocalyptic number.

20379879894528 is a gapful number since it is divisible by the number (28) 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 20379879894528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40492863290880).

20379879894528 is an abundant number, since it is smaller than the sum of its proper divisors (60605846687232).

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

20379879894528 is an frugal number, since it uses more digits than its factorization.

20379879894528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 4389396480, while the sum is 81.

The spelling of 20379879894528 in words is "twenty trillion, three hundred seventy-nine billion, eight hundred seventy-nine million, eight hundred ninety-four thousand, five hundred twenty-eight".