26264252520 has 384 divisors, whose sum is σ = 101408112000. Its totient is φ = 5823498240.

The previous prime is 26264252519. The next prime is 26264252533. The reversal of 26264252520 is 2525246262.

26264252520 is a `hidden beast` number, since 2 + 6 + 2 + 642 + 5 + 2 + 5 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2175942 + ... + 2187978.

It is an arithmetic number, because the mean of its divisors is an integer number (264083625).

Almost surely, 2^26264252520 is an apocalyptic number.

26264252520 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 26264252520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50704056000).

26264252520 is an abundant number, since it is smaller than the sum of its proper divisors (75143859480).

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

26264252520 is a wasteful number, since it uses less digits than its factorization.

26264252520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12113 (or 12106 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 26264252520 its reverse (2525246262), we get a palindrome (28789498782).

It can be divided in two parts, 26264 and 252520, that added together give a square (278784 = 528²).

The spelling of 26264252520 in words is "twenty-six billion, two hundred sixty-four million, two hundred fifty-two thousand, five hundred twenty".