26311128480 has 1536 divisors, whose sum is σ = 124853944320. Its totient is φ = 5016453120.

The previous prime is 26311128457. The next prime is 26311128491. The reversal of 26311128480 is 8482111362.

26311128480 is a `hidden beast` number, since 2 + 63 + 1 + 112 + 8 + 480 = 666.

It is a super-2 number, since 2×26311128480² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 207174177 + ... + 207174303.

It is an arithmetic number, because the mean of its divisors is an integer number (81285120).

Almost surely, 2^26311128480 is an apocalyptic number.

26311128480 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 26311128480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62426972160).

26311128480 is an abundant number, since it is smaller than the sum of its proper divisors (98542815840).

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

26311128480 is a wasteful number, since it uses less digits than its factorization.

26311128480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 26311128480 in words is "twenty-six billion, three hundred eleven million, one hundred twenty-eight thousand, four hundred eighty".