48032119800 has 768 divisors, whose sum is σ = 197723059200. Its totient is φ = 10488268800.

The previous prime is 48032119781. The next prime is 48032119813. The reversal of 48032119800 is 891123084.

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 191 ways as a sum of consecutive naturals, for example, 85314319 + ... + 85314881.

It is an arithmetic number, because the mean of its divisors is an integer number (257451900).

Almost surely, 2^48032119800 is an apocalyptic number.

48032119800 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 48032119800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98861529600).

48032119800 is an abundant number, since it is smaller than the sum of its proper divisors (149690939400).

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

48032119800 is a wasteful number, since it uses less digits than its factorization.

48032119800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 678 counting only the distinct ones).

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

The spelling of 48032119800 in words is "forty-eight billion, thirty-two million, one hundred nineteen thousand, eight hundred".