26954996365440 has 1024 divisors, whose sum is σ = 112639164019200. Its totient is φ = 6005871083520.

The previous prime is 26954996365403. The next prime is 26954996365447. The reversal of 26954996365440 is 4456369945962.

26954996365440 is a `hidden beast` number, since 2 + 6 + 9 + 5 + 49 + 9 + 6 + 36 + 544 + 0 = 666.

It is a super-2 number, since 2×26954996365440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (26954996365447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 575728912 + ... + 575775728.

Almost surely, 2^{26954996365440} is an apocalyptic number.

26954996365440 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 26954996365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56319582009600).

26954996365440 is an abundant number, since it is smaller than the sum of its proper divisors (85684167653760).

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

26954996365440 is a wasteful number, since it uses less digits than its factorization.

26954996365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47102 (or 47084 counting only the distinct ones).

The product of its (nonzero) digits is 1511654400, while the sum is 72.

The spelling of 26954996365440 in words is "twenty-six trillion, nine hundred fifty-four billion, nine hundred ninety-six million, three hundred sixty-five thousand, four hundred forty".