26934989797440 has 560 divisors, whose sum is σ = 96332142120192. Its totient is φ = 7143775617024.

The previous prime is 26934989797421. The next prime is 26934989797453. The reversal of 26934989797440 is 4479798943962.

26934989797440 is a `hidden beast` number, since 2 + 6 + 9 + 3 + 4 + 9 + 89 + 7 + 97 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 26934989797440.

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, 8372702712 + ... + 8372705928.

Almost surely, 2^{26934989797440} is an apocalyptic number.

26934989797440 is a gapful number since it is divisible by the number (20) 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 26934989797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48166071060096).

26934989797440 is an abundant number, since it is smaller than the sum of its proper divisors (69397152322752).

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

26934989797440 is a wasteful number, since it uses less digits than its factorization.

26934989797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4896 (or 4877 counting only the distinct ones).

The product of its (nonzero) digits is 5925685248, while the sum is 81.

The spelling of 26934989797440 in words is "twenty-six trillion, nine hundred thirty-four billion, nine hundred eighty-nine million, seven hundred ninety-seven thousand, four hundred forty".