48160125012480 has 960 divisors, whose sum is σ = 169205185353600. Its totient is φ = 11679203328000.

The previous prime is 48160125012473. The next prime is 48160125012487. The reversal of 48160125012480 is 8421052106184.

It is an interprime number because it is at equal distance from previous prime (48160125012473) and next prime (48160125012487).

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (48160125012487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25334099530 + ... + 25334101430.

It is an arithmetic number, because the mean of its divisors is an integer number (176255401410).

Almost surely, 2^{48160125012480} is an apocalyptic number.

48160125012480 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 48160125012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84602592676800).

48160125012480 is an abundant number, since it is smaller than the sum of its proper divisors (121045060341120).

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

48160125012480 is a wasteful number, since it uses less digits than its factorization.

48160125012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 48160125012480 in words is "forty-eight trillion, one hundred sixty billion, one hundred twenty-five million, twelve thousand, four hundred eighty".