26738531568 has 400 divisors, whose sum is σ = 90312076800. Its totient is φ = 7480512000.

The previous prime is 26738531543. The next prime is 26738531581. The reversal of 26738531568 is 86513583762.

26738531568 is a `hidden beast` number, since 2 + 6 + 73 + 8 + 5 + 3 + 1 + 568 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 177076293 + ... + 177076443.

It is an arithmetic number, because the mean of its divisors is an integer number (225780192).

Almost surely, 2^26738531568 is an apocalyptic number.

26738531568 is a gapful number since it is divisible by the number (28) 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 26738531568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45156038400).

26738531568 is an abundant number, since it is smaller than the sum of its proper divisors (63573545232).

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

26738531568 is a wasteful number, since it uses less digits than its factorization.

26738531568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 443 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 26738531568 in words is "twenty-six billion, seven hundred thirty-eight million, five hundred thirty-one thousand, five hundred sixty-eight".