26079932160 has 216 divisors, whose sum is σ = 91168000560. Its totient is φ = 6882656256.

The previous prime is 26079932149. The next prime is 26079932161. The reversal of 26079932160 is 6123997062.

It is a happy number.

26079932160 is a `hidden beast` number, since 2 + 607 + 9 + 9 + 32 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×26079932160² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26079932161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1105771 + ... + 1129109.

Almost surely, 2^26079932160 is an apocalyptic number.

26079932160 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 26079932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45584000280).

26079932160 is an abundant number, since it is smaller than the sum of its proper divisors (65088068400).

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

26079932160 is a wasteful number, since it uses less digits than its factorization.

26079932160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23463 (or 23446 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 26079932160 in words is "twenty-six billion, seventy-nine million, nine hundred thirty-two thousand, one hundred sixty".