26172488448 has 432 divisors, whose sum is σ = 86629707360. Its totient is φ = 7766212608.

The previous prime is 26172488443. The next prime is 26172488473. The reversal of 26172488448 is 84488427162.

26172488448 is a `hidden beast` number, since 26 + 172 + 4 + 8 + 8 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×26172488448³ (a number of 32 digits) contains 333 as substring.

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 = 26172488394 and 26172488403.

It is not an unprimeable number, because it can be changed into a prime (26172488443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42418636 + ... + 42419252.

It is an arithmetic number, because the mean of its divisors is an integer number (200531730).

Almost surely, 2^26172488448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26172488448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43314853680).

26172488448 is an abundant number, since it is smaller than the sum of its proper divisors (60457218912).

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

26172488448 is a wasteful number, since it uses less digits than its factorization.

26172488448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 658 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 54.

The spelling of 26172488448 in words is "twenty-six billion, one hundred seventy-two million, four hundred eighty-eight thousand, four hundred forty-eight".