48137047200 has 576 divisors, whose sum is σ = 199937203200. Its totient is φ = 11054361600.

The previous prime is 48137047193. The next prime is 48137047201. The reversal of 48137047200 is 274073184.

It is a happy number.

48137047200 is a `hidden beast` number, since 4 + 81 + 370 + 4 + 7 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48137047201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4509069 + ... + 4519731.

It is an arithmetic number, because the mean of its divisors is an integer number (347113200).

Almost surely, 2^48137047200 is an apocalyptic number.

48137047200 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 48137047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99968601600).

48137047200 is an abundant number, since it is smaller than the sum of its proper divisors (151800156000).

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

48137047200 is a wasteful number, since it uses less digits than its factorization.

48137047200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10722 (or 10703 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 48137047200 in words is "forty-eight billion, one hundred thirty-seven million, forty-seven thousand, two hundred".