26472293838720 has 512 divisors, whose sum is σ = 96510140496000. Its totient is φ = 6854658490368.

The previous prime is 26472293838671. The next prime is 26472293838737. The reversal of 26472293838720 is 2783839227462.

26472293838720 is a `hidden beast` number, since 2 + 6 + 4 + 7 + 229 + 3 + 8 + 387 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88687486 + ... + 88985474.

Almost surely, 2^{26472293838720} is an apocalyptic number.

26472293838720 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 26472293838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48255070248000).

26472293838720 is an abundant number, since it is smaller than the sum of its proper divisors (70037846657280).

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

26472293838720 is a wasteful number, since it uses less digits than its factorization.

26472293838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298167 (or 298149 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 26472293838720 in words is "twenty-six trillion, four hundred seventy-two billion, two hundred ninety-three million, eight hundred thirty-eight thousand, seven hundred twenty".