48580224000 has 1408 divisors, whose sum is σ = 211893387264. Its totient is φ = 9584640000.

The previous prime is 48580223987. The next prime is 48580224037. The reversal of 48580224000 is 42208584.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 916607974 + ... + 916608026.

Almost surely, 2^48580224000 is an apocalyptic number.

48580224000 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 48580224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105946693632).

48580224000 is an abundant number, since it is smaller than the sum of its proper divisors (163313163264).

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

48580224000 is a wasteful number, since it uses less digits than its factorization.

48580224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The spelling of 48580224000 in words is "forty-eight billion, five hundred eighty million, two hundred twenty-four thousand".