26557292640 has 96 divisors (see below), whose sum is σ = 83855761920. Its totient is φ = 7064989184.

The previous prime is 26557292639. The next prime is 26557292659. The reversal of 26557292640 is 4629275562.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 26557292640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135097 + ... + 267143.

It is an arithmetic number, because the mean of its divisors is an integer number (873497520).

Almost surely, 2^26557292640 is an apocalyptic number.

26557292640 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 26557292640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41927880960).

26557292640 is an abundant number, since it is smaller than the sum of its proper divisors (57298469280).

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

26557292640 is a wasteful number, since it uses less digits than its factorization.

26557292640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132484 (or 132476 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 26557292640 in words is "twenty-six billion, five hundred fifty-seven million, two hundred ninety-two thousand, six hundred forty".