2026506811680 has 384 divisors, whose sum is σ = 8087691628800. Its totient is φ = 469489139712.

The previous prime is 2026506811657. The next prime is 2026506811739. The reversal of 2026506811680 is 861186056202.

2026506811680 is a `hidden beast` number, since 2 + 0 + 2 + 6 + 506 + 81 + 1 + 68 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106590 + ... + 2016029.

It is an arithmetic number, because the mean of its divisors is an integer number (21061696950).

Almost surely, 2^{2026506811680} is an apocalyptic number.

2026506811680 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 2026506811680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043845814400).

2026506811680 is an abundant number, since it is smaller than the sum of its proper divisors (6061184817120).

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

2026506811680 is a wasteful number, since it uses less digits than its factorization.

2026506811680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122673 (or 2122659 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2026506811680 in words is "two trillion, twenty-six billion, five hundred six million, eight hundred eleven thousand, six hundred eighty".