26712367485440 has 640 divisors, whose sum is σ = 79680660111360. Its totient is φ = 8363000659968.

The previous prime is 26712367485431. The next prime is 26712367485443. The reversal of 26712367485440 is 4458476321762.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×26712367485440² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26712367485440.

It is not an unprimeable number, because it can be changed into a prime (26712367485443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8675661821 + ... + 8675664899.

It is an arithmetic number, because the mean of its divisors is an integer number (124501031424).

Almost surely, 2^{26712367485440} is an apocalyptic number.

26712367485440 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 26712367485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39840330055680).

26712367485440 is an abundant number, since it is smaller than the sum of its proper divisors (52968292625920).

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

26712367485440 is a wasteful number, since it uses less digits than its factorization.

26712367485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 59.

The spelling of 26712367485440 in words is "twenty-six trillion, seven hundred twelve billion, three hundred sixty-seven million, four hundred eighty-five thousand, four hundred forty".