26907456000 has 160 divisors (see below), whose sum is σ = 89461202688. Its totient is φ = 7175270400.

The previous prime is 26907455989. The next prime is 26907456001. The reversal of 26907456000 is 65470962.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×26907456000² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26907456000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26907456001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121929 + ... + 262071.

Almost surely, 2^26907456000 is an apocalyptic number.

26907456000 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 26907456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44730601344).

26907456000 is an abundant number, since it is smaller than the sum of its proper divisors (62553746688).

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

26907456000 is an equidigital number, since it uses as much as digits as its factorization.

26907456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140179 (or 140153 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 26907456000 in words is "twenty-six billion, nine hundred seven million, four hundred fifty-six thousand".