26316887040 has 880 divisors, whose sum is σ = 102720752640. Its totient is φ = 6423183360.

The previous prime is 26316887033. The next prime is 26316887057. The reversal of 26316887040 is 4078861362.

26316887040 is a `hidden beast` number, since 2 + 631 + 6 + 8 + 8 + 7 + 0 + 4 + 0 = 666.

It is a super-3 number, since 3×26316887040³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 295695316 + ... + 295695404.

It is an arithmetic number, because the mean of its divisors is an integer number (116728128).

Almost surely, 2^26316887040 is an apocalyptic number.

26316887040 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 26316887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51360376320).

26316887040 is an abundant number, since it is smaller than the sum of its proper divisors (76403865600).

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

26316887040 is a wasteful number, since it uses less digits than its factorization.

26316887040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 26316887040 in words is "twenty-six billion, three hundred sixteen million, eight hundred eighty-seven thousand, forty".