26585000375040 has 576 divisors, whose sum is σ = 94850929797120. Its totient is φ = 7051036262400.

The previous prime is 26585000375023. The next prime is 26585000375077. The reversal of 26585000375040 is 4057300058562.

26585000375040 is a `hidden beast` number, since 2 + 6 + 58 + 500 + 0 + 3 + 7 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 5086088907 + ... + 5086094133.

It is an arithmetic number, because the mean of its divisors is an integer number (164671753120).

Almost surely, 2^{26585000375040} is an apocalyptic number.

26585000375040 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 26585000375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47425464898560).

26585000375040 is an abundant number, since it is smaller than the sum of its proper divisors (68265929422080).

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

26585000375040 is a wasteful number, since it uses less digits than its factorization.

26585000375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6025 (or 6005 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 26585000375040 in words is "twenty-six trillion, five hundred eighty-five billion, three hundred seventy-five thousand, forty".