26545512240 has 320 divisors, whose sum is σ = 104262076800. Its totient is φ = 6149799936.

The previous prime is 26545512209. The next prime is 26545512241. The reversal of 26545512240 is 4221554562.

26545512240 is a `hidden beast` number, since 2 + 6 + 545 + 51 + 22 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26545512195 and 26545512204.

It is not an unprimeable number, because it can be changed into a prime (26545512241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 449556 + ... + 505164.

It is an arithmetic number, because the mean of its divisors is an integer number (325818990).

Almost surely, 2^26545512240 is an apocalyptic number.

26545512240 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 26545512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52131038400).

26545512240 is an abundant number, since it is smaller than the sum of its proper divisors (77716564560).

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

26545512240 is a wasteful number, since it uses less digits than its factorization.

26545512240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55661 (or 55649 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 26545512240 in words is "twenty-six billion, five hundred forty-five million, five hundred twelve thousand, two hundred forty".