48017155200 has 768 divisors, whose sum is σ = 192913367040. Its totient is φ = 10259251200.

The previous prime is 48017155171. The next prime is 48017155229. The reversal of 48017155200 is 255171084.

It is an interprime number because it is at equal distance from previous prime (48017155171) and next prime (48017155229).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72642870 + ... + 72643530.

It is an arithmetic number, because the mean of its divisors is an integer number (251189280).

Almost surely, 2^48017155200 is an apocalyptic number.

48017155200 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 48017155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96456683520).

48017155200 is an abundant number, since it is smaller than the sum of its proper divisors (144896211840).

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

48017155200 is a wasteful number, since it uses less digits than its factorization.

48017155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The spelling of 48017155200 in words is "forty-eight billion, seventeen million, one hundred fifty-five thousand, two hundred".