26966774016 has 720 divisors, whose sum is σ = 102380264448. Its totient is φ = 6867763200.

The previous prime is 26966773993. The next prime is 26966774033. The reversal of 26966774016 is 61047766962.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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, 58496026 + ... + 58496486.

Almost surely, 2^26966774016 is an apocalyptic number.

26966774016 is a gapful number since it is divisible by the number (26) 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 26966774016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51190132224).

26966774016 is an abundant number, since it is smaller than the sum of its proper divisors (75413490432).

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

26966774016 is a wasteful number, since it uses less digits than its factorization.

26966774016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 26966774016 in words is "twenty-six billion, nine hundred sixty-six million, seven hundred seventy-four thousand, sixteen".