26613855840 has 768 divisors, whose sum is σ = 103004504064. Its totient is φ = 5689958400.

The previous prime is 26613855811. The next prime is 26613855847. The reversal of 26613855840 is 4855831662.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 26613855840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26613855847) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 209557857 + ... + 209557983.

It is an arithmetic number, because the mean of its divisors is an integer number (134120448).

Almost surely, 2^26613855840 is an apocalyptic number.

26613855840 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 26613855840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51502252032).

26613855840 is an abundant number, since it is smaller than the sum of its proper divisors (76390648224).

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

26613855840 is a wasteful number, since it uses less digits than its factorization.

26613855840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 26613855840 in words is "twenty-six billion, six hundred thirteen million, eight hundred fifty-five thousand, eight hundred forty".