26432247875040 has 960 divisors, whose sum is σ = 111955242921984. Its totient is φ = 5742096003072.

The previous prime is 26432247875009. The next prime is 26432247875041. The reversal of 26432247875040 is 4057874223462.

26432247875040 is a `hidden beast` number, since 2 + 6 + 4 + 32 + 24 + 7 + 87 + 504 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26432247875041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 327549577 + ... + 327630263.

Almost surely, 2^{26432247875040} is an apocalyptic number.

26432247875040 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 26432247875040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55977621460992).

26432247875040 is an abundant number, since it is smaller than the sum of its proper divisors (85522995046944).

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

26432247875040 is a wasteful number, since it uses less digits than its factorization.

26432247875040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80901 (or 80884 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 26432247875040 in words is "twenty-six trillion, four hundred thirty-two billion, two hundred forty-seven million, eight hundred seventy-five thousand, forty".