26631562320 has 400 divisors, whose sum is σ = 101315890368. Its totient is φ = 6429818880.

The previous prime is 26631562303. The next prime is 26631562327. The reversal of 26631562320 is 2326513662.

26631562320 is a `hidden beast` number, since 2 + 6 + 6 + 3 + 1 + 5 + 623 + 20 = 666.

It is a super-2 number, since 2×26631562320² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26631562327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21882352 + ... + 21883568.

Almost surely, 2^26631562320 is an apocalyptic number.

26631562320 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 26631562320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50657945184).

26631562320 is an abundant number, since it is smaller than the sum of its proper divisors (74684328048).

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

26631562320 is a wasteful number, since it uses less digits than its factorization.

26631562320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 26631562320 in words is "twenty-six billion, six hundred thirty-one million, five hundred sixty-two thousand, three hundred twenty".