26911291680 has 576 divisors, whose sum is σ = 117954869760. Its totient is φ = 5430509568.

The previous prime is 26911291661. The next prime is 26911291681. The reversal of 26911291680 is 8619211962.

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

It is not an unprimeable number, because it can be changed into a prime (26911291681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3009456 + ... + 3018384.

It is an arithmetic number, because the mean of its divisors is an integer number (204782760).

Almost surely, 2^26911291680 is an apocalyptic number.

26911291680 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 26911291680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58977434880).

26911291680 is an abundant number, since it is smaller than the sum of its proper divisors (91043578080).

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

26911291680 is a wasteful number, since it uses less digits than its factorization.

26911291680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8993 (or 8982 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 26911291680 in words is "twenty-six billion, nine hundred eleven million, two hundred ninety-one thousand, six hundred eighty".