48162802500 has 300 divisors, whose sum is σ = 161198671788. Its totient is φ = 12528000000.

The previous prime is 48162802487. The next prime is 48162802529. The reversal of 48162802500 is 520826184.

48162802500 is a `hidden beast` number, since 4 + 8 + 1 + 628 + 0 + 25 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 35151750144 + 13011052356 = 187488^2 + 114066^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-3 number, since 3×48162802500³ (a number of 33 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 8299600 + ... + 8305400.

Almost surely, 2^48162802500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48162802500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80599335894).

48162802500 is an abundant number, since it is smaller than the sum of its proper divisors (113035869288).

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

48162802500 is a wasteful number, since it uses less digits than its factorization.

48162802500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5878 (or 5852 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 48162802500 in words is "forty-eight billion, one hundred sixty-two million, eight hundred two thousand, five hundred".