26436125955456 has 2048 divisors, whose sum is σ = 98419094323200. Its totient is φ = 6908462161920.

The previous prime is 26436125955439. The next prime is 26436125955457. The reversal of 26436125955456 is 65455952163462.

26436125955456 is a `hidden beast` number, since 2 + 6 + 4 + 3 + 6 + 1 + 25 + 9 + 554 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 26436125955393 and 26436125955402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26436125955457) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 138409036321 + ... + 138409036511.

It is an arithmetic number, because the mean of its divisors is an integer number (48056198400).

Almost surely, 2^{26436125955456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26436125955456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49209547161600).

26436125955456 is an abundant number, since it is smaller than the sum of its proper divisors (71982968367744).

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

26436125955456 is an equidigital number, since it uses as much as digits as its factorization.

26436125955456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 346 counting only the distinct ones).

The product of its digits is 233280000, while the sum is 63.

The spelling of 26436125955456 in words is "twenty-six trillion, four hundred thirty-six billion, one hundred twenty-five million, nine hundred fifty-five thousand, four hundred fifty-six".