26346152052 has 144 divisors (see below), whose sum is σ = 74566477440. Its totient is φ = 7775827200.

The previous prime is 26346152051. The next prime is 26346152081. The reversal of 26346152052 is 25025164362.

26346152052 is a `hidden beast` number, since 2 + 6 + 34 + 615 + 2 + 0 + 5 + 2 = 666.

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 = 26346151998 and 26346152016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26346152051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2482774 + ... + 2493362.

It is an arithmetic number, because the mean of its divisors is an integer number (517822760).

Almost surely, 2^26346152052 is an apocalyptic number.

26346152052 is a gapful number since it is divisible by the number (22) 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 26346152052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37283238720).

26346152052 is an abundant number, since it is smaller than the sum of its proper divisors (48220325388).

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

26346152052 is a wasteful number, since it uses less digits than its factorization.

26346152052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10774 (or 10769 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

It can be divided in two parts, 263461 and 52052, that added together give a palindrome (315513).

The spelling of 26346152052 in words is "twenty-six billion, three hundred forty-six million, one hundred fifty-two thousand, fifty-two".