48172993920 has 320 divisors, whose sum is σ = 173120246640. Its totient is φ = 12765081600.

The previous prime is 48172993901. The next prime is 48172993937. The reversal of 48172993920 is 2939927184.

48172993920 is a `hidden beast` number, since 481 + 72 + 9 + 9 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8447070 + ... + 8452770.

Almost surely, 2^48172993920 is an apocalyptic number.

48172993920 is a gapful number since it is divisible by the number (40) 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 48172993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86560123320).

48172993920 is an abundant number, since it is smaller than the sum of its proper divisors (124947252720).

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

48172993920 is a wasteful number, since it uses less digits than its factorization.

48172993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 48172993920 in words is "forty-eight billion, one hundred seventy-two million, nine hundred ninety-three thousand, nine hundred twenty".