26020673280 has 1728 divisors, whose sum is σ = 122137666560. Its totient is φ = 5159780352.

The previous prime is 26020673279. The next prime is 26020673281. The reversal of 26020673280 is 8237602062.

It is an interprime number because it is at equal distance from previous prime (26020673279) and next prime (26020673281).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26020673281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 703261422 + ... + 703261458.

It is an arithmetic number, because the mean of its divisors is an integer number (70681520).

Almost surely, 2^26020673280 is an apocalyptic number.

26020673280 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 26020673280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61068833280).

26020673280 is an abundant number, since it is smaller than the sum of its proper divisors (96116993280).

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

26020673280 is a wasteful number, since it uses less digits than its factorization.

26020673280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 26020673280 in words is "twenty-six billion, twenty million, six hundred seventy-three thousand, two hundred eighty".