26506042612920 has 512 divisors, whose sum is σ = 95445792288000. Its totient is φ = 6504309227520.

The previous prime is 26506042612913. The next prime is 26506042612967. The reversal of 26506042612920 is 2921624060562.

26506042612920 is a `hidden beast` number, since 2 + 6 + 5 + 0 + 6 + 0 + 4 + 2 + 612 + 9 + 20 = 666.

It is a super-3 number, since 3×26506042612920³ (a number of 41 digits) contains 333 as substring.

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 127 ways as a sum of consecutive naturals, for example, 7485466350 + ... + 7485469890.

Almost surely, 2^{26506042612920} is an apocalyptic number.

26506042612920 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 26506042612920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47722896144000).

26506042612920 is an abundant number, since it is smaller than the sum of its proper divisors (68939749675080).

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

26506042612920 is a wasteful number, since it uses less digits than its factorization.

26506042612920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5080 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 26506042612920 in words is "twenty-six trillion, five hundred six billion, forty-two million, six hundred twelve thousand, nine hundred twenty".