26540428240 has 80 divisors (see below), whose sum is σ = 62440253568. Its totient is φ = 10490690048.

The previous prime is 26540428231. The next prime is 26540428267. The reversal of 26540428240 is 4282404562.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 26540428240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2305539 + ... + 2317021.

Almost surely, 2^26540428240 is an apocalyptic number.

26540428240 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 26540428240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31220126784).

26540428240 is an abundant number, since it is smaller than the sum of its proper divisors (35899825328).

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

26540428240 is a wasteful number, since it uses less digits than its factorization.

26540428240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11836 (or 11830 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 37.

The spelling of 26540428240 in words is "twenty-six billion, five hundred forty million, four hundred twenty-eight thousand, two hundred forty".