26314748460 has 1152 divisors, whose sum is σ = 116026380288. Its totient is φ = 4683571200.

The previous prime is 26314748437. The next prime is 26314748489. The reversal of 26314748460 is 6484741362.

26314748460 is a `hidden beast` number, since 2 + 6 + 3 + 147 + 48 + 460 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 370630225 + ... + 370630295.

It is an arithmetic number, because the mean of its divisors is an integer number (100717344).

Almost surely, 2^26314748460 is an apocalyptic number.

26314748460 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 26314748460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58013190144).

26314748460 is an abundant number, since it is smaller than the sum of its proper divisors (89711631828).

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

26314748460 is a wasteful number, since it uses less digits than its factorization.

26314748460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 26314748460 in words is "twenty-six billion, three hundred fourteen million, seven hundred forty-eight thousand, four hundred sixty".