26701872960 has 448 divisors, whose sum is σ = 100917573120. Its totient is φ = 5852528640.

The previous prime is 26701872937. The next prime is 26701872973. The reversal of 26701872960 is 6927810762.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 35272902 + ... + 35273658.

It is an arithmetic number, because the mean of its divisors is an integer number (225262440).

Almost surely, 2^26701872960 is an apocalyptic number.

26701872960 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 26701872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50458786560).

26701872960 is an abundant number, since it is smaller than the sum of its proper divisors (74215700160).

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

26701872960 is a wasteful number, since it uses less digits than its factorization.

26701872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 26701872960 in words is "twenty-six billion, seven hundred one million, eight hundred seventy-two thousand, nine hundred sixty".