48119832000 has 784 divisors, whose sum is σ = 184323240192. Its totient is φ = 12429158400.

The previous prime is 48119831993. The next prime is 48119832031. The reversal of 48119832000 is 23891184.

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 111 ways as a sum of consecutive naturals, for example, 215783889 + ... + 215784111.

Almost surely, 2^48119832000 is an apocalyptic number.

48119832000 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 48119832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92161620096).

48119832000 is an abundant number, since it is smaller than the sum of its proper divisors (136203408192).

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

48119832000 is an equidigital number, since it uses as much as digits as its factorization.

48119832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 48119832000 in words is "forty-eight billion, one hundred nineteen million, eight hundred thirty-two thousand".