26506530960 has 320 divisors, whose sum is σ = 101438840832. Its totient is φ = 5575661568.

The previous prime is 26506530931. The next prime is 26506530971. The reversal of 26506530960 is 6903560562.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8013627 + ... + 8016933.

Almost surely, 2^26506530960 is an apocalyptic number.

26506530960 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 26506530960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50719420416).

26506530960 is an abundant number, since it is smaller than the sum of its proper divisors (74932309872).

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

26506530960 is a wasteful number, since it uses less digits than its factorization.

26506530960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The spelling of 26506530960 in words is "twenty-six billion, five hundred six million, five hundred thirty thousand, nine hundred sixty".