48405600000 has 756 divisors, whose sum is σ = 183253630392. Its totient is φ = 12752640000.

The previous prime is 48405599999. The next prime is 48405600011. The reversal of 48405600000 is 650484.

It is a super-2 number, since 2×48405600000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 583199959 + ... + 583200041.

It is an arithmetic number, because the mean of its divisors is an integer number (242398982).

Almost surely, 2^48405600000 is an apocalyptic number.

48405600000 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 48405600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91626815196).

48405600000 is an abundant number, since it is smaller than the sum of its proper divisors (134848030392).

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

48405600000 is an frugal number, since it uses more digits than its factorization.

48405600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 48405600000 in words is "forty-eight billion, four hundred five million, six hundred thousand".