26264960122464 has 432 divisors, whose sum is σ = 93010008139776. Its totient is φ = 7262197689600.

The previous prime is 26264960122447. The next prime is 26264960122477. The reversal of 26264960122464 is 46422106946262.

26264960122464 is a `hidden beast` number, since 2 + 6 + 2 + 6 + 4 + 9 + 601 + 2 + 24 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 26264960122464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10699929 + ... + 12923559.

It is an arithmetic number, because the mean of its divisors is an integer number (215300944768).

Almost surely, 2^{26264960122464} is an apocalyptic number.

26264960122464 is a gapful number since it is divisible by the number (24) 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 26264960122464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46505004069888).

26264960122464 is an abundant number, since it is smaller than the sum of its proper divisors (66745048017312).

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

26264960122464 is a wasteful number, since it uses less digits than its factorization.

26264960122464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223701 (or 2223674 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 26264960122464 in words is "twenty-six trillion, two hundred sixty-four billion, nine hundred sixty million, one hundred twenty-two thousand, four hundred sixty-four".