26606256952320 has 1408 divisors, whose sum is σ = 101164377600000. Its totient is φ = 6612258521088.

The previous prime is 26606256952271. The next prime is 26606256952367. The reversal of 26606256952320 is 2325965260662.

26606256952320 is a `hidden beast` number, since 2 + 6 + 6 + 0 + 6 + 2 + 569 + 52 + 3 + 20 = 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 127 ways as a sum of consecutive naturals, for example, 56972712727 + ... + 56972713193.

It is an arithmetic number, because the mean of its divisors is an integer number (71849700000).

Almost surely, 2^{26606256952320} is an apocalyptic number.

26606256952320 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 26606256952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50582188800000).

26606256952320 is an abundant number, since it is smaller than the sum of its proper divisors (74558120647680).

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

26606256952320 is a wasteful number, since it uses less digits than its factorization.

26606256952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 26606256952320 in words is "twenty-six trillion, six hundred six billion, two hundred fifty-six million, nine hundred fifty-two thousand, three hundred twenty".