26540764508160 has 2496 divisors, whose sum is σ = 114204295296000. Its totient is φ = 5785833701376.

The previous prime is 26540764508143. The next prime is 26540764508171. The reversal of 26540764508160 is 6180546704562.

26540764508160 is a `hidden beast` number, since 2 + 6 + 5 + 4 + 0 + 76 + 4 + 508 + 1 + 60 = 666.

26540764508160 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 26540764508097 and 26540764508106.

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, 76048035666 + ... + 76048036014.

It is an arithmetic number, because the mean of its divisors is an integer number (45754926000).

Almost surely, 2^{26540764508160} is an apocalyptic number.

26540764508160 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 26540764508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57102147648000).

26540764508160 is an abundant number, since it is smaller than the sum of its proper divisors (87663530787840).

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

26540764508160 is an equidigital number, since it uses as much as digits as its factorization.

26540764508160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 26540764508160 in words is "twenty-six trillion, five hundred forty billion, seven hundred sixty-four million, five hundred eight thousand, one hundred sixty".