26130756960 has 576 divisors, whose sum is σ = 111633500160. Its totient is φ = 5407395840.

The previous prime is 26130756919. The next prime is 26130756983. The reversal of 26130756960 is 6965703162.

26130756960 is a `hidden beast` number, since 26 + 1 + 3 + 0 + 7 + 569 + 60 = 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 95 ways as a sum of consecutive naturals, for example, 51337186 + ... + 51337694.

It is an arithmetic number, because the mean of its divisors is an integer number (193808160).

Almost surely, 2^26130756960 is an apocalyptic number.

26130756960 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 26130756960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55816750080).

26130756960 is an abundant number, since it is smaller than the sum of its proper divisors (85502743200).

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

26130756960 is a wasteful number, since it uses less digits than its factorization.

26130756960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 26130756960 in words is "twenty-six billion, one hundred thirty million, seven hundred fifty-six thousand, nine hundred sixty".