26915812560 has 960 divisors, whose sum is σ = 118630407168. Its totient is φ = 5313724416.

The previous prime is 26915812523. The next prime is 26915812619. The reversal of 26915812560 is 6521851962.

26915812560 is a `hidden beast` number, since 2 + 6 + 9 + 1 + 5 + 81 + 2 + 560 = 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 191 ways as a sum of consecutive naturals, for example, 79868712 + ... + 79869048.

Almost surely, 2^26915812560 is an apocalyptic number.

26915812560 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 26915812560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59315203584).

26915812560 is an abundant number, since it is smaller than the sum of its proper divisors (91714594608).

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

26915812560 is a wasteful number, since it uses less digits than its factorization.

26915812560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 26915812560 in words is "twenty-six billion, nine hundred fifteen million, eight hundred twelve thousand, five hundred sixty".