26479269411840 has 1408 divisors, whose sum is σ = 109252811520000. Its totient is φ = 6031353249792.

The previous prime is 26479269411797. The next prime is 26479269411863. The reversal of 26479269411840 is 4811496297462.

26479269411840 is a `hidden beast` number, since 2 + 6 + 479 + 2 + 6 + 9 + 4 + 118 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39112657582 + ... + 39112658258.

Almost surely, 2^{26479269411840} is an apocalyptic number.

26479269411840 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 26479269411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54626405760000).

26479269411840 is an abundant number, since it is smaller than the sum of its proper divisors (82773542108160).

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

26479269411840 is an frugal number, since it uses more digits than its factorization.

26479269411840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 26479269411840 in words is "twenty-six trillion, four hundred seventy-nine billion, two hundred sixty-nine million, four hundred eleven thousand, eight hundred forty".