26481930048000 has 5760 divisors, whose sum is σ = 127147462041600. Its totient is φ = 5455392768000.

The previous prime is 26481930047999. The next prime is 26481930048023. The reversal of 26481930048000 is 84003918462.

It is a happy number.

26481930048000 is a `hidden beast` number, since 2 + 6 + 4 + 81 + 93 + 0 + 0 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 448846271971 + ... + 448846272029.

It is an arithmetic number, because the mean of its divisors is an integer number (22074212160).

Almost surely, 2^{26481930048000} is an apocalyptic number.

26481930048000 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 26481930048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63573731020800).

26481930048000 is an abundant number, since it is smaller than the sum of its proper divisors (100665531993600).

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

26481930048000 is an equidigital number, since it uses as much as digits as its factorization.

26481930048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 26481930048000 in words is "twenty-six trillion, four hundred eighty-one billion, nine hundred thirty million, forty-eight thousand".