48034437120 has 288 divisors, whose sum is σ = 167529267360. Its totient is φ = 12728401920.

The previous prime is 48034437079. The next prime is 48034437131. The reversal of 48034437120 is 2173443084.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15389160 + ... + 15392280.

It is an arithmetic number, because the mean of its divisors is an integer number (581698845).

Almost surely, 2^48034437120 is an apocalyptic number.

48034437120 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 48034437120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83764633680).

48034437120 is an abundant number, since it is smaller than the sum of its proper divisors (119494830240).

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

48034437120 is a wasteful number, since it uses less digits than its factorization.

48034437120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 48034437120 in words is "forty-eight billion, thirty-four million, four hundred thirty-seven thousand, one hundred twenty".