26134591560 has 384 divisors, whose sum is σ = 98893267200. Its totient is φ = 5408409600.

The previous prime is 26134591541. The next prime is 26134591579. The reversal of 26134591560 is 6519543162.

It is an interprime number because it is at equal distance from previous prime (26134591541) and next prime (26134591579).

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 95 ways as a sum of consecutive naturals, for example, 39537630 + ... + 39538290.

It is an arithmetic number, because the mean of its divisors is an integer number (257534550).

Almost surely, 2^26134591560 is an apocalyptic number.

26134591560 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 26134591560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49446633600).

26134591560 is an abundant number, since it is smaller than the sum of its proper divisors (72758675640).

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

26134591560 is a wasteful number, since it uses less digits than its factorization.

26134591560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 26134591560 in words is "twenty-six billion, one hundred thirty-four million, five hundred ninety-one thousand, five hundred sixty".