26465712540 has 288 divisors, whose sum is σ = 81042812928. Its totient is φ = 6449664000.

The previous prime is 26465712529. The next prime is 26465712571. The reversal of 26465712540 is 4521756462.

It is a junction number, because it is equal to n+sod(n) for n = 26465712492 and 26465712501.

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 95 ways as a sum of consecutive naturals, for example, 138563845 + ... + 138564035.

It is an arithmetic number, because the mean of its divisors is an integer number (281398656).

Almost surely, 2^26465712540 is an apocalyptic number.

26465712540 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 26465712540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40521406464).

26465712540 is an abundant number, since it is smaller than the sum of its proper divisors (54577100388).

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

26465712540 is a wasteful number, since it uses less digits than its factorization.

26465712540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 26465712540 in words is "twenty-six billion, four hundred sixty-five million, seven hundred twelve thousand, five hundred forty".