8123948093520 has 480 divisors, whose sum is σ = 31446250168320. Its totient is φ = 1841136307200.

The previous prime is 8123948093509. The next prime is 8123948093563. The reversal of 8123948093520 is 253908493218.

8123948093520 is a `hidden beast` number, since 8 + 1 + 2 + 39 + 4 + 80 + 9 + 3 + 520 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 313036545 + ... + 313062495.

It is an arithmetic number, because the mean of its divisors is an integer number (65513021184).

Almost surely, 2^{8123948093520} is an apocalyptic number.

8123948093520 is a gapful number since it is divisible by the number (80) 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 8123948093520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15723125084160).

8123948093520 is an abundant number, since it is smaller than the sum of its proper divisors (23322302074800).

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

8123948093520 is a wasteful number, since it uses less digits than its factorization.

8123948093520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26503 (or 26494 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 8123948093520 in words is "eight trillion, one hundred twenty-three billion, nine hundred forty-eight million, ninety-three thousand, five hundred twenty".