26452808928 has 672 divisors, whose sum is σ = 101893692096. Its totient is φ = 6557220864.

The previous prime is 26452808917. The next prime is 26452808933. The reversal of 26452808928 is 82980825462.

It is a happy number.

26452808928 is a `hidden beast` number, since 26 + 4 + 528 + 0 + 8 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×26452808928² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 36088050 + ... + 36088782.

It is an arithmetic number, because the mean of its divisors is an integer number (151627518).

Almost surely, 2^26452808928 is an apocalyptic number.

26452808928 is a gapful number since it is divisible by the number (28) 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 26452808928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50946846048).

26452808928 is an abundant number, since it is smaller than the sum of its proper divisors (75440883168).

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

26452808928 is a wasteful number, since it uses less digits than its factorization.

26452808928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 26452808928 in words is "twenty-six billion, four hundred fifty-two million, eight hundred eight thousand, nine hundred twenty-eight".