8048132305920 has 792 divisors, whose sum is σ = 32850832435200. Its totient is φ = 1816247107584.

The previous prime is 8048132305901. The next prime is 8048132305957. The reversal of 8048132305920 is 295032318408.

8048132305920 is a `hidden beast` number, since 8 + 0 + 48 + 13 + 2 + 3 + 0 + 592 + 0 = 666.

It is a super-2 number, since 2×8048132305920² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 178353121 + ... + 178398239.

Almost surely, 2^{8048132305920} is an apocalyptic number.

8048132305920 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 8048132305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16425416217600).

8048132305920 is an abundant number, since it is smaller than the sum of its proper divisors (24802700129280).

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

8048132305920 is a wasteful number, since it uses less digits than its factorization.

8048132305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45243 (or 45215 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 8048132305920 in words is "eight trillion, forty-eight billion, one hundred thirty-two million, three hundred five thousand, nine hundred twenty".