48119332800 has 672 divisors, whose sum is σ = 200919283200. Its totient is φ = 9995059200.

The previous prime is 48119332763. The next prime is 48119332801. The reversal of 48119332800 is 823391184.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48119332801) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 18109072 + ... + 18111728.

Almost surely, 2^48119332800 is an apocalyptic number.

48119332800 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 48119332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100459641600).

48119332800 is an abundant number, since it is smaller than the sum of its proper divisors (152799950400).

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

48119332800 is a wasteful number, since it uses less digits than its factorization.

48119332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 48119332800 in words is "forty-eight billion, one hundred nineteen million, three hundred thirty-two thousand, eight hundred".