26587821152 has 96 divisors (see below), whose sum is σ = 57641310720. Its totient is φ = 12016097280.

The previous prime is 26587821137. The next prime is 26587821173. The reversal of 26587821152 is 25112878562.

It is a super-2 number, since 2×26587821152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26587821097 and 26587821106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6052877 + ... + 6057267.

It is an arithmetic number, because the mean of its divisors is an integer number (600430320).

Almost surely, 2^26587821152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26587821152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28820655360).

26587821152 is an abundant number, since it is smaller than the sum of its proper divisors (31053489568).

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

26587821152 is a wasteful number, since it uses less digits than its factorization.

26587821152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4876 (or 4868 counting only the distinct ones).

The product of its digits is 537600, while the sum is 47.

The spelling of 26587821152 in words is "twenty-six billion, five hundred eighty-seven million, eight hundred twenty-one thousand, one hundred fifty-two".