108748025305920 has 5376 divisors, whose sum is σ = 548392523857920. Its totient is φ = 19667681280000.

The previous prime is 108748025305903. The next prime is 108748025305967. The reversal of 108748025305920 is 29503520847801.

108748025305920 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 4 + 80 + 2 + 530 + 5 + 9 + 20 = 666.

It is a super-2 number, since 2×108748025305920² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 142901478340 + ... + 142901479100.

It is an arithmetic number, because the mean of its divisors is an integer number (102007537920).

Almost surely, 2^{108748025305920} is an apocalyptic number.

108748025305920 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 108748025305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274196261928960).

108748025305920 is an abundant number, since it is smaller than the sum of its proper divisors (439644498552000).

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

108748025305920 is a wasteful number, since it uses less digits than its factorization.

108748025305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 108748025305920 in words is "one hundred eight trillion, seven hundred forty-eight billion, twenty-five million, three hundred five thousand, nine hundred twenty".