26882152992 has 288 divisors, whose sum is σ = 80873275392. Its totient is φ = 8782712064.

The previous prime is 26882152981. The next prime is 26882153009. The reversal of 26882152992 is 29925128862.

It is a happy number.

26882152992 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 21 + 529 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160970893 + ... + 160971059.

It is an arithmetic number, because the mean of its divisors is an integer number (280809984).

Almost surely, 2^26882152992 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 26882152992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40436637696).

26882152992 is an abundant number, since it is smaller than the sum of its proper divisors (53991122400).

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

26882152992 is a wasteful number, since it uses less digits than its factorization.

26882152992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 462 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 26882152992 in words is "twenty-six billion, eight hundred eighty-two million, one hundred fifty-two thousand, nine hundred ninety-two".