48538530900 has 216 divisors, whose sum is σ = 164520720000. Its totient is φ = 11922846720.

The previous prime is 48538530893. The next prime is 48538530949. The reversal of 48538530900 is 903583584.

It is a happy number.

48538530900 is a `hidden beast` number, since 4 + 85 + 38 + 530 + 9 + 0 + 0 = 666.

48538530900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 685351 + ... + 752849.

It is an arithmetic number, because the mean of its divisors is an integer number (761670000).

Almost surely, 2^48538530900 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 48538530900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82260360000).

48538530900 is an abundant number, since it is smaller than the sum of its proper divisors (115982189100).

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

48538530900 is a wasteful number, since it uses less digits than its factorization.

48538530900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67583 (or 67573 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 48538530900 in words is "forty-eight billion, five hundred thirty-eight million, five hundred thirty thousand, nine hundred".