48461587200 has 1512 divisors, whose sum is σ = 209432720448. Its totient is φ = 10988421120.

The previous prime is 48461587043. The next prime is 48461587211. The reversal of 48461587200 is 278516484.

48461587200 is a `hidden beast` number, since 4 + 8 + 4 + 61 + 587 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1031097577 + ... + 1031097623.

It is an arithmetic number, because the mean of its divisors is an integer number (138513704).

Almost surely, 2^48461587200 is an apocalyptic number.

48461587200 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 48461587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104716360224).

48461587200 is an abundant number, since it is smaller than the sum of its proper divisors (160971133248).

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

48461587200 is a wasteful number, since it uses less digits than its factorization.

48461587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 87 counting only the distinct ones).

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

The spelling of 48461587200 in words is "forty-eight billion, four hundred sixty-one million, five hundred eighty-seven thousand, two hundred".