26792021568 has 168 divisors, whose sum is σ = 77449423968. Its totient is φ = 8169627648.

The previous prime is 26792021533. The next prime is 26792021579. The reversal of 26792021568 is 86512029762.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3662971 + ... + 3670277.

It is an arithmetic number, because the mean of its divisors is an integer number (461008476).

Almost surely, 2^26792021568 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 26792021568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38724711984).

26792021568 is an abundant number, since it is smaller than the sum of its proper divisors (50657402400).

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

26792021568 is a wasteful number, since it uses less digits than its factorization.

26792021568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7461 (or 7438 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

It can be divided in two parts, 2679202 and 1568, that added together give a triangular number (2680770 = T₂₃₁₅).

The spelling of 26792021568 in words is "twenty-six billion, seven hundred ninety-two million, twenty-one thousand, five hundred sixty-eight".