26945383284000 has 576 divisors, whose sum is σ = 96624356250240. Its totient is φ = 7110801561600.

The previous prime is 26945383283957. The next prime is 26945383284007. The reversal of 26945383284000 is 48238354962.

26945383284000 is a `hidden beast` number, since 2 + 6 + 94 + 53 + 83 + 28 + 400 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (26945383284007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4325792886 + ... + 4325799114.

It is an arithmetic number, because the mean of its divisors is an integer number (167750618490).

Almost surely, 2^{26945383284000} is an apocalyptic number.

26945383284000 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 26945383284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48312178125120).

26945383284000 is an abundant number, since it is smaller than the sum of its proper divisors (69678972966240).

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

26945383284000 is a wasteful number, since it uses less digits than its factorization.

26945383284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7490 (or 7469 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 26945383284000 in words is "twenty-six trillion, nine hundred forty-five billion, three hundred eighty-three million, two hundred eighty-four thousand".