20534205116880 has 1280 divisors, whose sum is σ = 92246255861760. Its totient is φ = 4074339336192.

The previous prime is 20534205116807. The next prime is 20534205116891. The reversal of 20534205116880 is 8861150243502.

20534205116880 is a `hidden beast` number, since 2 + 0 + 5 + 34 + 20 + 511 + 6 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 7642054897 + ... + 7642057583.

It is an arithmetic number, because the mean of its divisors is an integer number (72067387392).

Almost surely, 2^{20534205116880} is an apocalyptic number.

20534205116880 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 20534205116880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46123127930880).

20534205116880 is an abundant number, since it is smaller than the sum of its proper divisors (71712050744880).

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

20534205116880 is a wasteful number, since it uses less digits than its factorization.

20534205116880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5033 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 20534205116880 in words is "twenty trillion, five hundred thirty-four billion, two hundred five million, one hundred sixteen thousand, eight hundred eighty".