108763295040 has 168 divisors, whose sum is σ = 374405591040. Its totient is φ = 28979887104.

The previous prime is 108763295033. The next prime is 108763295041. The reversal of 108763295040 is 40592367801.

108763295040 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 632 + 9 + 5 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108763295041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3668757 + ... + 3698283.

It is a 1-persistent number, because it is pandigital, but 2⋅108763295040 = 217526590080 is not.

Almost surely, 2^108763295040 is an apocalyptic number.

108763295040 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 108763295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187202795520).

108763295040 is an abundant number, since it is smaller than the sum of its proper divisors (265642296000).

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

108763295040 is a wasteful number, since it uses less digits than its factorization.

108763295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30829 (or 30816 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 108763295040 in words is "one hundred eight billion, seven hundred sixty-three million, two hundred ninety-five thousand, forty".