48037821120 has 280 divisors, whose sum is σ = 172236286464. Its totient is φ = 12708347904.

The previous prime is 48037821119. The next prime is 48037821127. The reversal of 48037821120 is 2112873084.

48037821120 is a `hidden beast` number, since 480 + 37 + 8 + 21 + 120 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (48037821127) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3284544 + ... + 3299136.

Almost surely, 2^48037821120 is an apocalyptic number.

48037821120 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 48037821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86118143232).

48037821120 is an abundant number, since it is smaller than the sum of its proper divisors (124198465344).

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

48037821120 is a wasteful number, since it uses less digits than its factorization.

48037821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14749 (or 14730 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 48037821120 in words is "forty-eight billion, thirty-seven million, eight hundred twenty-one thousand, one hundred twenty".