26197893120 has 672 divisors, whose sum is σ = 103094942400. Its totient is φ = 5648154624.

The previous prime is 26197893119. The next prime is 26197893149. The reversal of 26197893120 is 2139879162.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 26197893120.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114401166 + ... + 114401394.

Almost surely, 2^26197893120 is an apocalyptic number.

26197893120 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 26197893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51547471200).

26197893120 is an abundant number, since it is smaller than the sum of its proper divisors (76897049280).

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

26197893120 is a wasteful number, since it uses less digits than its factorization.

26197893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 26197893120 in words is "twenty-six billion, one hundred ninety-seven million, eight hundred ninety-three thousand, one hundred twenty".