26353289790432 has 1680 divisors, whose sum is σ = 93686139993600. Its totient is φ = 7265598912000.

The previous prime is 26353289790427. The next prime is 26353289790437. The reversal of 26353289790432 is 23409798235362.

It is a happy number.

26353289790432 is a `hidden beast` number, since 2 + 6 + 3 + 5 + 3 + 28 + 97 + 90 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (26353289790427) and next prime (26353289790437).

It is a self number, because there is not a number n which added to its sum of digits gives 26353289790432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26353289790437) by changing a digit.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 201170151007 + ... + 201170151137.

It is an arithmetic number, because the mean of its divisors is an integer number (55765559520).

Almost surely, 2^{26353289790432} is an apocalyptic number.

26353289790432 is a gapful number since it is divisible by the number (22) 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 26353289790432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46843069996800).

26353289790432 is an abundant number, since it is smaller than the sum of its proper divisors (67332850203168).

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

26353289790432 is an equidigital number, since it uses as much as digits as its factorization.

26353289790432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 26353289790432 in words is "twenty-six trillion, three hundred fifty-three billion, two hundred eighty-nine million, seven hundred ninety thousand, four hundred thirty-two".