48635017200 has 720 divisors, whose sum is σ = 214957956096. Its totient is φ = 9888307200.

The previous prime is 48635017187. The next prime is 48635017219. The reversal of 48635017200 is 271053684.

48635017200 is a `hidden beast` number, since 4 + 8 + 635 + 0 + 17 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13026534 + ... + 13030266.

Almost surely, 2^48635017200 is an apocalyptic number.

48635017200 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 48635017200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107478978048).

48635017200 is an abundant number, since it is smaller than the sum of its proper divisors (166322938896).

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

48635017200 is a wasteful number, since it uses less digits than its factorization.

48635017200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822 (or 3808 counting only the distinct ones).

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

The spelling of 48635017200 in words is "forty-eight billion, six hundred thirty-five million, seventeen thousand, two hundred".