26040153456 has 100 divisors (see below), whose sum is σ = 75412174552. Its totient is φ = 8674936704.

The previous prime is 26040153449. The next prime is 26040153499. The reversal of 26040153456 is 65435104062.

26040153456 is a `hidden beast` number, since 2 + 604 + 0 + 1 + 5 + 3 + 45 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 26040153456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2655795 + ... + 2665581.

Almost surely, 2^26040153456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26040153456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37706087276).

26040153456 is an abundant number, since it is smaller than the sum of its proper divisors (49372021096).

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

26040153456 is a wasteful number, since it uses less digits than its factorization.

26040153456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11860 (or 11845 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

It can be divided in two parts, 26040153 and 456, that added together give a square (26040609 = 5103²).

The spelling of 26040153456 in words is "twenty-six billion, forty million, one hundred fifty-three thousand, four hundred fifty-six".