26863060320 has 480 divisors, whose sum is σ = 100696780800. Its totient is φ = 6725182464.

The previous prime is 26863060303. The next prime is 26863060351. The reversal of 26863060320 is 2306036862.

26863060320 is a `hidden beast` number, since 26 + 8 + 6 + 3 + 0 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31272051 + ... + 31272909.

It is an arithmetic number, because the mean of its divisors is an integer number (209784960).

Almost surely, 2^26863060320 is an apocalyptic number.

26863060320 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 26863060320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50348390400).

26863060320 is an abundant number, since it is smaller than the sum of its proper divisors (73833720480).

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

26863060320 is a wasteful number, since it uses less digits than its factorization.

26863060320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 26863060320 in words is "twenty-six billion, eight hundred sixty-three million, sixty thousand, three hundred twenty".