48575713500 has 768 divisors, whose sum is σ = 176117760000. Its totient is φ = 11508480000.

The previous prime is 48575713427. The next prime is 48575713547. The reversal of 48575713500 is 531757584.

It is a happy number.

48575713500 is a `hidden beast` number, since 4 + 8 + 5 + 75 + 71 + 3 + 500 = 666.

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

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 326011426 + ... + 326011574.

It is an arithmetic number, because the mean of its divisors is an integer number (229320000).

Almost surely, 2^48575713500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48575713500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880000).

48575713500 is an abundant number, since it is smaller than the sum of its proper divisors (127542046500).

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

48575713500 is a wasteful number, since it uses less digits than its factorization.

48575713500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 48575713500 in words is "forty-eight billion, five hundred seventy-five million, seven hundred thirteen thousand, five hundred".