48613002120 has 480 divisors, whose sum is σ = 175118387400. Its totient is φ = 12092571648.

The previous prime is 48613002079. The next prime is 48613002131. The reversal of 48613002120 is 2120031684.

48613002120 is a `hidden beast` number, since 4 + 8 + 613 + 0 + 0 + 21 + 20 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2290771044 + 46322231076 = 47862^2 + 215226^2 .

It is a super-3 number, since 3×48613002120³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 119 ways as a sum of consecutive naturals, for example, 180717346 + ... + 180717614.

Almost surely, 2^48613002120 is an apocalyptic number.

48613002120 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 48613002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87559193700).

48613002120 is an abundant number, since it is smaller than the sum of its proper divisors (126505385280).

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

48613002120 is a wasteful number, since it uses less digits than its factorization.

48613002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 48613002120 in words is "forty-eight billion, six hundred thirteen million, two thousand, one hundred twenty".