26516844532080 has 2560 divisors, whose sum is σ = 119453931601920. Its totient is φ = 5266798018560.

The previous prime is 26516844532033. The next prime is 26516844532093. The reversal of 26516844532080 is 8023544861562.

26516844532080 is a `hidden beast` number, since 2 + 6 + 5 + 1 + 68 + 44 + 532 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 15625717792 + ... + 15625719488.

It is an arithmetic number, because the mean of its divisors is an integer number (46661692032).

Almost surely, 2^{26516844532080} is an apocalyptic number.

26516844532080 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 26516844532080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59726965800960).

26516844532080 is an abundant number, since it is smaller than the sum of its proper divisors (92937087069840).

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

26516844532080 is a wasteful number, since it uses less digits than its factorization.

26516844532080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 26516844532080 in words is "twenty-six trillion, five hundred sixteen billion, eight hundred forty-four million, five hundred thirty-two thousand, eighty".