26242504669080 has 768 divisors, whose sum is σ = 107189509939200. Its totient is φ = 5429773025280.

The previous prime is 26242504669061. The next prime is 26242504669133. The reversal of 26242504669080 is 8096640524262.

26242504669080 is a `hidden beast` number, since 2 + 6 + 2 + 42 + 50 + 466 + 90 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 216409906 + ... + 216531134.

It is an arithmetic number, because the mean of its divisors is an integer number (139569674400).

Almost surely, 2^{26242504669080} is an apocalyptic number.

26242504669080 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 26242504669080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53594754969600).

26242504669080 is an abundant number, since it is smaller than the sum of its proper divisors (80947005270120).

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

26242504669080 is a wasteful number, since it uses less digits than its factorization.

26242504669080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121464 (or 121457 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 26242504669080 in words is "twenty-six trillion, two hundred forty-two billion, five hundred four million, six hundred sixty-nine thousand, eighty".