48021681600 has 672 divisors, whose sum is σ = 193481187840. Its totient is φ = 11524423680.

The previous prime is 48021681581. The next prime is 48021681611. The reversal of 48021681600 is 618612084.

48021681600 is a `hidden beast` number, since 48 + 0 + 2 + 1 + 6 + 8 + 1 + 600 = 666.

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

It is a congruent number.

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, 16889779 + ... + 16892621.

Almost surely, 2^48021681600 is an apocalyptic number.

48021681600 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 48021681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96740593920).

48021681600 is an abundant number, since it is smaller than the sum of its proper divisors (145459506240).

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

48021681600 is a wasteful number, since it uses less digits than its factorization.

48021681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 48021681600 in words is "forty-eight billion, twenty-one million, six hundred eighty-one thousand, six hundred".