26941902960000 has 1280 divisors, whose sum is σ = 103950115315200. Its totient is φ = 6053806080000.

The previous prime is 26941902959999. The next prime is 26941902960019. The reversal of 26941902960000 is 6920914962.

It is a super-2 number, since 2×26941902960000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26387759490 + ... + 26387760510.

It is an arithmetic number, because the mean of its divisors is an integer number (81211027590).

Almost surely, 2^{26941902960000} is an apocalyptic number.

26941902960000 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 26941902960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51975057657600).

26941902960000 is an abundant number, since it is smaller than the sum of its proper divisors (77008212355200).

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

26941902960000 is a wasteful number, since it uses less digits than its factorization.

26941902960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 26941902960000 in words is "twenty-six trillion, nine hundred forty-one billion, nine hundred two million, nine hundred sixty thousand".