4887125575488 has 1120 divisors, whose sum is σ = 16978622115840. Its totient is φ = 1377016381440.

The previous prime is 4887125575487. The next prime is 4887125575531. The reversal of 4887125575488 is 8845755217884.

4887125575488 is a `hidden beast` number, since 4 + 8 + 8 + 7 + 1 + 2 + 5 + 575 + 48 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4887125575487) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6667292370 + ... + 6667293102.

It is an arithmetic number, because the mean of its divisors is an integer number (15159484032).

Almost surely, 2^{4887125575488} is an apocalyptic number.

4887125575488 is a gapful number since it is divisible by the number (48) 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 4887125575488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8489311057920).

4887125575488 is an abundant number, since it is smaller than the sum of its proper divisors (12091496540352).

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

4887125575488 is a wasteful number, since it uses less digits than its factorization.

4887125575488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 938 counting only the distinct ones).

The product of its digits is 802816000, while the sum is 72.

The spelling of 4887125575488 in words is "four trillion, eight hundred eighty-seven billion, one hundred twenty-five million, five hundred seventy-five thousand, four hundred eighty-eight".