26416128640 has 256 divisors, whose sum is σ = 76790332800. Its totient is φ = 8564244480.

The previous prime is 26416128617. The next prime is 26416128653. The reversal of 26416128640 is 4682161462.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 26416128593 and 26416128602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2268112 + ... + 2279728.

Almost surely, 2^26416128640 is an apocalyptic number.

26416128640 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 26416128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38395166400).

26416128640 is an abundant number, since it is smaller than the sum of its proper divisors (50374204160).

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

26416128640 is a wasteful number, since it uses less digits than its factorization.

26416128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11683 (or 11671 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 26416128640 in words is "twenty-six billion, four hundred sixteen million, one hundred twenty-eight thousand, six hundred forty".