48358620288 has 384 divisors, whose sum is σ = 156726835200. Its totient is φ = 14187264000.

The previous prime is 48358620251. The next prime is 48358620301. The reversal of 48358620288 is 88202685384.

48358620288 is a `hidden beast` number, since 4 + 8 + 3 + 5 + 8 + 620 + 2 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53082553 + ... + 53083463.

It is an arithmetic number, because the mean of its divisors is an integer number (408142800).

Almost surely, 2^48358620288 is an apocalyptic number.

48358620288 is a gapful number since it is divisible by the number (48) 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 48358620288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78363417600).

48358620288 is an abundant number, since it is smaller than the sum of its proper divisors (108368214912).

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

48358620288 is a wasteful number, since it uses less digits than its factorization.

48358620288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 48358620288 in words is "forty-eight billion, three hundred fifty-eight million, six hundred twenty thousand, two hundred eighty-eight".