26287701120 has 768 divisors, whose sum is σ = 101929726080. Its totient is φ = 6449725440.

The previous prime is 26287701119. The next prime is 26287701149. The reversal of 26287701120 is 2110778262.

26287701120 is a `hidden beast` number, since 2 + 628 + 7 + 7 + 0 + 1 + 1 + 20 = 666.

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

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, 161274159 + ... + 161274321.

Almost surely, 2^26287701120 is an apocalyptic number.

26287701120 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 26287701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50964863040).

26287701120 is an abundant number, since it is smaller than the sum of its proper divisors (75642024960).

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

26287701120 is a wasteful number, since it uses less digits than its factorization.

26287701120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 26287701120 in words is "twenty-six billion, two hundred eighty-seven million, seven hundred one thousand, one hundred twenty".