20286020401920 has 6048 divisors, whose sum is σ = 101732185239552. Its totient is φ = 3771226128384.

The previous prime is 20286020401849. The next prime is 20286020401951. The reversal of 20286020401920 is 2910402068202.

20286020401920 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 602 + 0 + 40 + 1 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a super-2 number, since 2×20286020401920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 431617455337 + ... + 431617455383.

It is an arithmetic number, because the mean of its divisors is an integer number (16820797824).

Almost surely, 2^{20286020401920} is an apocalyptic number.

20286020401920 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 20286020401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50866092619776).

20286020401920 is an abundant number, since it is smaller than the sum of its proper divisors (81446164837632).

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

20286020401920 is a wasteful number, since it uses less digits than its factorization.

20286020401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20286020401920 in words is "twenty trillion, two hundred eighty-six billion, twenty million, four hundred one thousand, nine hundred twenty".