26726259120 has 320 divisors, whose sum is σ = 92577074688. Its totient is φ = 6323200000.

The previous prime is 26726259107. The next prime is 26726259179. The reversal of 26726259120 is 2195262762.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35119540 + ... + 35120300.

Almost surely, 2^26726259120 is an apocalyptic number.

26726259120 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 26726259120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46288537344).

26726259120 is an abundant number, since it is smaller than the sum of its proper divisors (65850815568).

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

26726259120 is a wasteful number, since it uses less digits than its factorization.

26726259120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 26726259120 in words is "twenty-six billion, seven hundred twenty-six million, two hundred fifty-nine thousand, one hundred twenty".