108801388640 has 192 divisors, whose sum is σ = 296693808768. Its totient is φ = 36932812800.

The previous prime is 108801388637. The next prime is 108801388649. The reversal of 108801388640 is 46883108801.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108801388649) 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, 79941560 + ... + 79942920.

It is an arithmetic number, because the mean of its divisors is an integer number (1545280254).

Almost surely, 2^108801388640 is an apocalyptic number.

108801388640 is a gapful number since it is divisible by the number (10) 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 108801388640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148346904384).

108801388640 is an abundant number, since it is smaller than the sum of its proper divisors (187892420128).

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

108801388640 is a wasteful number, since it uses less digits than its factorization.

108801388640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 47.

The spelling of 108801388640 in words is "one hundred eight billion, eight hundred one million, three hundred eighty-eight thousand, six hundred forty".