26807010048 has 1152 divisors, whose sum is σ = 108786585600. Its totient is φ = 6306398208.

The previous prime is 26807010023. The next prime is 26807010049. The reversal of 26807010048 is 84001070862.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26807009994 and 26807010021.

It is not an unprimeable number, because it can be changed into a prime (26807010049) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 245935818 + ... + 245935926.

It is an arithmetic number, because the mean of its divisors is an integer number (94432800).

Almost surely, 2^26807010048 is an apocalyptic number.

26807010048 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 26807010048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54393292800).

26807010048 is an abundant number, since it is smaller than the sum of its proper divisors (81979575552).

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

26807010048 is a wasteful number, since it uses less digits than its factorization.

26807010048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 26807010048 in words is "twenty-six billion, eight hundred seven million, ten thousand, forty-eight".