48405936000 has 512 divisors, whose sum is σ = 171540270720. Its totient is φ = 12032409600.

The previous prime is 48405935971. The next prime is 48405936013. The reversal of 48405936000 is 63950484.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 48405936000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111791784 + ... + 111792216.

Almost surely, 2^48405936000 is an apocalyptic number.

48405936000 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 48405936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85770135360).

48405936000 is an abundant number, since it is smaller than the sum of its proper divisors (123134334720).

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

48405936000 is a wasteful number, since it uses less digits than its factorization.

48405936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 48405936000 in words is "forty-eight billion, four hundred five million, nine hundred thirty-six thousand".