26778635532 has 192 divisors, whose sum is σ = 77810181120. Its totient is φ = 7893849600.

The previous prime is 26778635531. The next prime is 26778635563. The reversal of 26778635532 is 23553687762.

It is a happy number.

26778635532 is a `hidden beast` number, since 2 + 6 + 7 + 7 + 86 + 3 + 553 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (26778635531) 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, 24499578 + ... + 24500670.

It is an arithmetic number, because the mean of its divisors is an integer number (405261360).

Almost surely, 2^26778635532 is an apocalyptic number.

26778635532 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 26778635532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38905090560).

26778635532 is an abundant number, since it is smaller than the sum of its proper divisors (51031545588).

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

26778635532 is a wasteful number, since it uses less digits than its factorization.

26778635532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1653 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The spelling of 26778635532 in words is "twenty-six billion, seven hundred seventy-eight million, six hundred thirty-five thousand, five hundred thirty-two".