26326251262080 has 4032 divisors, whose sum is σ = 124950726109440. Its totient is φ = 5276681625600.

The previous prime is 26326251262061. The next prime is 26326251262081. The reversal of 26326251262080 is 8026215262362.

26326251262080 is a `hidden beast` number, since 2 + 6 + 3 + 2 + 6 + 2 + 5 + 12 + 620 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (26326251262081) by changing a digit.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 85753261287 + ... + 85753261593.

It is an arithmetic number, because the mean of its divisors is an integer number (30989763420).

Almost surely, 2^{26326251262080} is an apocalyptic number.

26326251262080 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 26326251262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62475363054720).

26326251262080 is an abundant number, since it is smaller than the sum of its proper divisors (98624474847360).

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

26326251262080 is a wasteful number, since it uses less digits than its factorization.

26326251262080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 26326251262080 in words is "twenty-six trillion, three hundred twenty-six billion, two hundred fifty-one million, two hundred sixty-two thousand, eighty".