26752578864 has 160 divisors (see below), whose sum is σ = 77616817920. Its totient is φ = 7868851200.

The previous prime is 26752578863. The next prime is 26752578883. The reversal of 26752578864 is 46887525762.

It is a junction number, because it is equal to n+sod(n) for n = 26752578798 and 26752578807.

It is not an unprimeable number, because it can be changed into a prime (26752578863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9590782 + ... + 9593570.

It is an arithmetic number, because the mean of its divisors is an integer number (485105112).

Almost surely, 2^26752578864 is an apocalyptic number.

26752578864 is a gapful number since it is divisible by the number (24) 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 26752578864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38808408960).

26752578864 is an abundant number, since it is smaller than the sum of its proper divisors (50864239056).

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

26752578864 is a wasteful number, since it uses less digits than its factorization.

26752578864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339 (or 3333 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 60.

The spelling of 26752578864 in words is "twenty-six billion, seven hundred fifty-two million, five hundred seventy-eight thousand, eight hundred sixty-four".