26791623040 has 256 divisors, whose sum is σ = 80966229120. Its totient is φ = 8249278464.

The previous prime is 26791623031. The next prime is 26791623041. The reversal of 26791623040 is 4032619762.

It is a happy number.

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 = 26791622984 and 26791623002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26791623041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2148664 + ... + 2161096.

Almost surely, 2^26791623040 is an apocalyptic number.

26791623040 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 26791623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40483114560).

26791623040 is an abundant number, since it is smaller than the sum of its proper divisors (54174606080).

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

26791623040 is a wasteful number, since it uses less digits than its factorization.

26791623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12509 (or 12497 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 26791623040 in words is "twenty-six billion, seven hundred ninety-one million, six hundred twenty-three thousand, forty".