48721305600 has 1008 divisors, whose sum is σ = 199655033760. Its totient is φ = 11678515200.

The previous prime is 48721305583. The next prime is 48721305629. The reversal of 48721305600 is 650312784.

48721305600 is a `hidden beast` number, since 4 + 87 + 2 + 13 + 0 + 560 + 0 = 666.

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

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, 547430356 + ... + 547430444.

It is an arithmetic number, because the mean of its divisors is an integer number (198070470).

Almost surely, 2^48721305600 is an apocalyptic number.

48721305600 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 48721305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99827516880).

48721305600 is an abundant number, since it is smaller than the sum of its proper divisors (150933728160).

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

48721305600 is an equidigital number, since it uses as much as digits as its factorization.

48721305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 48721305600 in words is "forty-eight billion, seven hundred twenty-one million, three hundred five thousand, six hundred".