26526669120 has 672 divisors, whose sum is σ = 114573588480. Its totient is φ = 5492551680.

The previous prime is 26526669073. The next prime is 26526669137. The reversal of 26526669120 is 2196662562.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8808415 + ... + 8811425.

Almost surely, 2^26526669120 is an apocalyptic number.

26526669120 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 26526669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57286794240).

26526669120 is an abundant number, since it is smaller than the sum of its proper divisors (88046919360).

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

26526669120 is a wasteful number, since it uses less digits than its factorization.

26526669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 26526669120 in words is "twenty-six billion, five hundred twenty-six million, six hundred sixty-nine thousand, one hundred twenty".