26700119506944 has 896 divisors, whose sum is σ = 87028433210880. Its totient is φ = 8138693541888.

The previous prime is 26700119506903. The next prime is 26700119506993. The reversal of 26700119506944 is 44960591100762.

26700119506944 is a `hidden beast` number, since 26 + 70 + 0 + 1 + 1 + 9 + 506 + 9 + 44 = 666.

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

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 55 ways as a sum of consecutive naturals, for example, 39438876334 + ... + 39438877010.

It is an arithmetic number, because the mean of its divisors is an integer number (97129947780).

Almost surely, 2^{26700119506944} is an apocalyptic number.

26700119506944 is a gapful number since it is divisible by the number (24) 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 26700119506944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43514216605440).

26700119506944 is an abundant number, since it is smaller than the sum of its proper divisors (60328313703936).

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

26700119506944 is an frugal number, since it uses more digits than its factorization.

26700119506944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 26700119506944 in words is "twenty-six trillion, seven hundred billion, one hundred nineteen million, five hundred six thousand, nine hundred forty-four".