26960201809920 has 1024 divisors, whose sum is σ = 98636445388800. Its totient is φ = 6982902743040.

The previous prime is 26960201809913. The next prime is 26960201809999. The reversal of 26960201809920 is 2990810206962.

It is a happy number.

26960201809920 is a `hidden beast` number, since 2 + 6 + 9 + 602 + 0 + 1 + 8 + 0 + 9 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×26960201809920² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 51549142779 + ... + 51549143301.

It is an arithmetic number, because the mean of its divisors is an integer number (96324653700).

Almost surely, 2^{26960201809920} is an apocalyptic number.

26960201809920 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 26960201809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49318222694400).

26960201809920 is an abundant number, since it is smaller than the sum of its proper divisors (71676243578880).

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

26960201809920 is an equidigital number, since it uses as much as digits as its factorization.

26960201809920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 26960201809920 in words is "twenty-six trillion, nine hundred sixty billion, two hundred one million, eight hundred nine thousand, nine hundred twenty".