48127296000 has 320 divisors, whose sum is σ = 182875080960. Its totient is φ = 11000217600.

The previous prime is 48127295903. The next prime is 48127296029. The reversal of 48127296000 is 69272184.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 48127296000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1326096 + ... + 1361904.

It is an arithmetic number, because the mean of its divisors is an integer number (571484628).

Almost surely, 2^48127296000 is an apocalyptic number.

48127296000 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 48127296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91437540480).

48127296000 is an abundant number, since it is smaller than the sum of its proper divisors (134747784960).

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

48127296000 is an equidigital number, since it uses as much as digits as its factorization.

48127296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35852 (or 35826 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 48127296000 in words is "forty-eight billion, one hundred twenty-seven million, two hundred ninety-six thousand".