26229027552 has 384 divisors, whose sum is σ = 87397761024. Its totient is φ = 6703699968.

The previous prime is 26229027547. The next prime is 26229027557. The reversal of 26229027552 is 25572092262.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26229027547) and next prime (26229027557).

It is a super-2 number, since 2×26229027552² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26229027557) 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, 52144933 + ... + 52145435.

It is an arithmetic number, because the mean of its divisors is an integer number (227598336).

Almost surely, 2^26229027552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26229027552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43698880512).

26229027552 is an abundant number, since it is smaller than the sum of its proper divisors (61168733472).

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

26229027552 is a wasteful number, since it uses less digits than its factorization.

26229027552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 26229027552 in words is "twenty-six billion, two hundred twenty-nine million, twenty-seven thousand, five hundred fifty-two".