48037029120 has 432 divisors, whose sum is σ = 175242871440. Its totient is φ = 12130320384.

The previous prime is 48037029119. The next prime is 48037029169. The reversal of 48037029120 is 2192073084.

48037029120 is a `hidden beast` number, since 480 + 3 + 70 + 2 + 91 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6967574784 + 41069454336 = 83472^2 + 202656^2 .

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17704884 + ... + 17707596.

It is an arithmetic number, because the mean of its divisors is an integer number (405654795).

Almost surely, 2^48037029120 is an apocalyptic number.

48037029120 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 48037029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87621435720).

48037029120 is an abundant number, since it is smaller than the sum of its proper divisors (127205842320).

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

48037029120 is a wasteful number, since it uses less digits than its factorization.

48037029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 48037029120 in words is "forty-eight billion, thirty-seven million, twenty-nine thousand, one hundred twenty".