26882506530432 has 640 divisors, whose sum is σ = 94641121872000. Its totient is φ = 7411349643264.

The previous prime is 26882506530427. The next prime is 26882506530463. The reversal of 26882506530432 is 23403560528862.

26882506530432 is a `hidden beast` number, since 2 + 6 + 8 + 82 + 506 + 53 + 0 + 4 + 3 + 2 = 666.

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 79 ways as a sum of consecutive naturals, for example, 4960784619 + ... + 4960790037.

It is an arithmetic number, because the mean of its divisors is an integer number (147876752925).

Almost surely, 2^{26882506530432} 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 26882506530432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47320560936000).

26882506530432 is an abundant number, since it is smaller than the sum of its proper divisors (67758615341568).

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

26882506530432 is a wasteful number, since it uses less digits than its factorization.

26882506530432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7838 (or 7817 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 26882506530432 in words is "twenty-six trillion, eight hundred eighty-two billion, five hundred six million, five hundred thirty thousand, four hundred thirty-two".