108781795584000 has 4608 divisors, whose sum is σ = 535389624806400. Its totient is φ = 21254897664000.

The previous prime is 108781795583977. The next prime is 108781795584019. The reversal of 108781795584000 is 485597187801.

108781795584000 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 8 + 1 + 79 + 558 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 99525887454 + ... + 99525888546.

It is an arithmetic number, because the mean of its divisors is an integer number (116186984550).

Almost surely, 2^{108781795584000} is an apocalyptic number.

108781795584000 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 108781795584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267694812403200).

108781795584000 is an abundant number, since it is smaller than the sum of its proper divisors (426607829222400).

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

108781795584000 is a wasteful number, since it uses less digits than its factorization.

108781795584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 63.

The spelling of 108781795584000 in words is "one hundred eight trillion, seven hundred eighty-one billion, seven hundred ninety-five million, five hundred eighty-four thousand".