26667991645372 has 288 divisors, whose sum is σ = 62618608217088. Its totient is φ = 9645132672000.

The previous prime is 26667991645307. The next prime is 26667991645381. The reversal of 26667991645372 is 27354619976662.

It is a super-2 number, since 2×26667991645372² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26667991645295 and 26667991645304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 777543328 + ... + 777577624.

It is an arithmetic number, because the mean of its divisors is an integer number (217425722976).

Almost surely, 2^{26667991645372} is an apocalyptic number.

26667991645372 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 26667991645372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31309304108544).

26667991645372 is an abundant number, since it is smaller than the sum of its proper divisors (35950616571716).

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

26667991645372 is a wasteful number, since it uses less digits than its factorization.

26667991645372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34489 (or 34456 counting only the distinct ones).

The product of its digits is 1234517760, while the sum is 73.

The spelling of 26667991645372 in words is "twenty-six trillion, six hundred sixty-seven billion, nine hundred ninety-one million, six hundred forty-five thousand, three hundred seventy-two".