48705367200 has 288 divisors, whose sum is σ = 191842971264. Its totient is φ = 10477731840.

The previous prime is 48705367171. The next prime is 48705367219. The reversal of 48705367200 is 276350784.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 200332 + ... + 370868.

It is an arithmetic number, because the mean of its divisors is an integer number (666121428).

Almost surely, 2^48705367200 is an apocalyptic number.

48705367200 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 48705367200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95921485632).

48705367200 is an abundant number, since it is smaller than the sum of its proper divisors (143137604064).

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

48705367200 is a wasteful number, since it uses less digits than its factorization.

48705367200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170584 (or 170571 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 48705367200 in words is "forty-eight billion, seven hundred five million, three hundred sixty-seven thousand, two hundred".