48615487200 has 1080 divisors, whose sum is σ = 210452795784. Its totient is φ = 10886400000.

The previous prime is 48615487183. The next prime is 48615487223. The reversal of 48615487200 is 278451684.

48615487200 is a `hidden beast` number, since 4 + 8 + 615 + 4 + 8 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 193687075 + ... + 193687325.

Almost surely, 2^48615487200 is an apocalyptic number.

48615487200 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 48615487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105226397892).

48615487200 is an abundant number, since it is smaller than the sum of its proper divisors (161837308584).

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

48615487200 is a wasteful number, since it uses less digits than its factorization.

48615487200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 48615487200 in words is "forty-eight billion, six hundred fifteen million, four hundred eighty-seven thousand, two hundred".