26816620320 has 192 divisors, whose sum is σ = 107266602240. Its totient is φ = 6129506304.

The previous prime is 26816620249. The next prime is 26816620321. The reversal of 26816620320 is 2302661862.

26816620320 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 6 + 620 + 3 + 20 = 666.

It is a super-2 number, since 2×26816620320² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (26816620321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413157 + ... + 473636.

It is an arithmetic number, because the mean of its divisors is an integer number (558680220).

Almost surely, 2^26816620320 is an apocalyptic number.

26816620320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26816620320 is an abundant number, since it is smaller than the sum of its proper divisors (80449981920).

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

26816620320 is a wasteful number, since it uses less digits than its factorization.

26816620320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886824 (or 886810 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 26816620320 in words is "twenty-six billion, eight hundred sixteen million, six hundred twenty thousand, three hundred twenty".