26381031505920 has 3264 divisors, whose sum is σ = 122099619962880. Its totient is φ = 5350883328000.

The previous prime is 26381031505901. The next prime is 26381031505987. The reversal of 26381031505920 is 2950513018362.

26381031505920 is a `hidden beast` number, since 2 + 6 + 3 + 8 + 1 + 0 + 3 + 1 + 50 + 592 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 174708817845 + ... + 174708817995.

Almost surely, 2^{26381031505920} is an apocalyptic number.

26381031505920 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 26381031505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61049809981440).

26381031505920 is an abundant number, since it is smaller than the sum of its proper divisors (95718588456960).

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

26381031505920 is a wasteful number, since it uses less digits than its factorization.

26381031505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 26381031505920 in words is "twenty-six trillion, three hundred eighty-one billion, thirty-one million, five hundred five thousand, nine hundred twenty".