26157488760 has 960 divisors, whose sum is σ = 104075642880. Its totient is φ = 5871191040.

The previous prime is 26157488743. The next prime is 26157488779. The reversal of 26157488760 is 6788475162.

26157488760 is a `hidden beast` number, since 2 + 6 + 1 + 574 + 8 + 8 + 7 + 60 = 666.

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 = 26157488697 and 26157488706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 390410247 + ... + 390410313.

It is an arithmetic number, because the mean of its divisors is an integer number (108412128).

Almost surely, 2^26157488760 is an apocalyptic number.

26157488760 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 26157488760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52037821440).

26157488760 is an abundant number, since it is smaller than the sum of its proper divisors (77918154120).

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

26157488760 is a wasteful number, since it uses less digits than its factorization.

26157488760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 26157488760 in words is "twenty-six billion, one hundred fifty-seven million, four hundred eighty-eight thousand, seven hundred sixty".