26311127040 has 624 divisors, whose sum is σ = 104881495680. Its totient is φ = 6033899520.

The previous prime is 26311126999. The next prime is 26311127077. The reversal of 26311127040 is 4072111362.

26311127040 is a `hidden beast` number, since 2 + 631 + 1 + 1 + 27 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×26311127040² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26311126995 and 26311127013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38522539 + ... + 38523221.

It is an arithmetic number, because the mean of its divisors is an integer number (168079320).

Almost surely, 2^26311127040 is an apocalyptic number.

26311127040 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 26311127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52440747840).

26311127040 is an abundant number, since it is smaller than the sum of its proper divisors (78570368640).

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

26311127040 is a wasteful number, since it uses less digits than its factorization.

26311127040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

It can be divided in two parts, 26311 and 127040, that added together give a palindrome (153351).

The spelling of 26311127040 in words is "twenty-six billion, three hundred eleven million, one hundred twenty-seven thousand, forty".