26801521350720 has 224 divisors, whose sum is σ = 89813671812480. Its totient is φ = 6752756367360.

The previous prime is 26801521350713. The next prime is 26801521350733. The reversal of 26801521350720 is 2705312510862.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4833840 + ... + 8773200.

It is an arithmetic number, because the mean of its divisors is an integer number (400953892020).

Almost surely, 2^{26801521350720} is an apocalyptic number.

26801521350720 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 26801521350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44906835906240).

26801521350720 is an abundant number, since it is smaller than the sum of its proper divisors (63012150461760).

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

26801521350720 is a wasteful number, since it uses less digits than its factorization.

26801521350720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3939773 (or 3939763 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 26801521350720 in words is "twenty-six trillion, eight hundred one billion, five hundred twenty-one million, three hundred fifty thousand, seven hundred twenty".