26086802021280 has 1152 divisors, whose sum is σ = 124778974037760. Its totient is φ = 5003656519680.

The previous prime is 26086802021233. The next prime is 26086802021327. The reversal of 26086802021280 is 8212020868062.

26086802021280 is a `hidden beast` number, since 2 + 608 + 6 + 8 + 0 + 20 + 2 + 12 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26086802021233) and next prime (26086802021327).

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 191 ways as a sum of consecutive naturals, for example, 29839342 + ... + 30701138.

It is an arithmetic number, because the mean of its divisors is an integer number (108315081630).

Almost surely, 2^{26086802021280} is an apocalyptic number.

26086802021280 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 26086802021280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62389487018880).

26086802021280 is an abundant number, since it is smaller than the sum of its proper divisors (98692172016480).

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

26086802021280 is a wasteful number, since it uses less digits than its factorization.

26086802021280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861859 (or 861838 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 26086802021280 in words is "twenty-six trillion, eighty-six billion, eight hundred two million, twenty-one thousand, two hundred eighty".