26264007540 has 192 divisors, whose sum is σ = 86619456000. Its totient is φ = 6583928832.

The previous prime is 26264007467. The next prime is 26264007541. The reversal of 26264007540 is 4570046262.

26264007540 is a `hidden beast` number, since 2 + 6 + 2 + 640 + 0 + 7 + 5 + 4 + 0 = 666.

It is a super-2 number, since 2×26264007540² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26264007495 and 26264007504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26264007541) 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, 14218897 + ... + 14220743.

It is an arithmetic number, because the mean of its divisors is an integer number (451143000).

Almost surely, 2^26264007540 is an apocalyptic number.

26264007540 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 26264007540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43309728000).

26264007540 is an abundant number, since it is smaller than the sum of its proper divisors (60355448460).

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

26264007540 is a wasteful number, since it uses less digits than its factorization.

26264007540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 26264007540 in words is "twenty-six billion, two hundred sixty-four million, seven thousand, five hundred forty".