26127591120 has 480 divisors, whose sum is σ = 95570133120. Its totient is φ = 6556723200.

The previous prime is 26127591109. The next prime is 26127591197. The reversal of 26127591120 is 2119572162.

26127591120 is a `hidden beast` number, since 2 + 61 + 2 + 7 + 591 + 1 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85106007 + ... + 85106313.

It is an arithmetic number, because the mean of its divisors is an integer number (199104444).

Almost surely, 2^26127591120 is an apocalyptic number.

26127591120 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 26127591120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47785066560).

26127591120 is an abundant number, since it is smaller than the sum of its proper divisors (69442542000).

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

26127591120 is a wasteful number, since it uses less digits than its factorization.

26127591120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 26127591120 in words is "twenty-six billion, one hundred twenty-seven million, five hundred ninety-one thousand, one hundred twenty".