26381064528000 has 3072 divisors, whose sum is σ = 125068014489600. Its totient is φ = 5413588992000.

The previous prime is 26381064527933. The next prime is 26381064528073. The reversal of 26381064528000 is 82546018362.

26381064528000 is a `hidden beast` number, since 2 + 63 + 8 + 1 + 0 + 64 + 528 + 0 + 0 + 0 = 666.

It is a super-4 number, since 4×26381064528000⁴ (a number of 55 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10181806705 + ... + 10181809295.

It is an arithmetic number, because the mean of its divisors is an integer number (40712244300).

Almost surely, 2^{26381064528000} is an apocalyptic number.

26381064528000 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 26381064528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62534007244800).

26381064528000 is an abundant number, since it is smaller than the sum of its proper divisors (98686949961600).

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

26381064528000 is a wasteful number, since it uses less digits than its factorization.

26381064528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 26381064528000 in words is "twenty-six trillion, three hundred eighty-one billion, sixty-four million, five hundred twenty-eight thousand".