26894430145152 has 384 divisors, whose sum is σ = 85191517756800. Its totient is φ = 8416360857600.

The previous prime is 26894430145123. The next prime is 26894430145153. The reversal of 26894430145152 is 25154103449862.

26894430145152 is a `hidden beast` number, since 2 + 6 + 8 + 9 + 443 + 0 + 1 + 45 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (26894430145153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211972549 + ... + 212099387.

It is an arithmetic number, because the mean of its divisors is an integer number (221852910825).

Almost surely, 2^{26894430145152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26894430145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42595758878400).

26894430145152 is an abundant number, since it is smaller than the sum of its proper divisors (58297087611648).

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

26894430145152 is a wasteful number, since it uses less digits than its factorization.

26894430145152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127286 (or 127262 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 26894430145152 in words is "twenty-six trillion, eight hundred ninety-four billion, four hundred thirty million, one hundred forty-five thousand, one hundred fifty-two".