26920261120 has 160 divisors (see below), whose sum is σ = 67177414656. Its totient is φ = 10334822400.

The previous prime is 26920261103. The next prime is 26920261127. The reversal of 26920261120 is 2116202962.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26920261127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10077385 + ... + 10080055.

Almost surely, 2^26920261120 is an apocalyptic number.

26920261120 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 26920261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33588707328).

26920261120 is an abundant number, since it is smaller than the sum of its proper divisors (40257153536).

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

26920261120 is a wasteful number, since it uses less digits than its factorization.

26920261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 26920261120 in words is "twenty-six billion, nine hundred twenty million, two hundred sixty-one thousand, one hundred twenty".