26942998118400 has 4080 divisors, whose sum is σ = 129511703887104. Its totient is φ = 5381459804160.

The previous prime is 26942998118389. The next prime is 26942998118429. The reversal of 26942998118400 is 481189924962.

26942998118400 is a `hidden beast` number, since 2 + 6 + 9 + 4 + 29 + 98 + 118 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 277762867152 + ... + 277762867248.

Almost surely, 2^{26942998118400} is an apocalyptic number.

26942998118400 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 26942998118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64755851943552).

26942998118400 is an abundant number, since it is smaller than the sum of its proper divisors (102568705768704).

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

26942998118400 is an equidigital number, since it uses as much as digits as its factorization.

26942998118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 26942998118400 in words is "twenty-six trillion, nine hundred forty-two billion, nine hundred ninety-eight million, one hundred eighteen thousand, four hundred".