5387107034880 has 864 divisors, whose sum is σ = 19493584830720. Its totient is φ = 1372597125120.

The previous prime is 5387107034851. The next prime is 5387107034891. The reversal of 5387107034880 is 884307017835.

5387107034880 is a `hidden beast` number, since 5 + 3 + 87 + 10 + 70 + 3 + 488 + 0 = 666.

It is a super-2 number, since 2×5387107034880² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4059612777 + ... + 4059614103.

It is an arithmetic number, because the mean of its divisors is an integer number (22562019480).

Almost surely, 2^{5387107034880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5387107034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9746792415360).

5387107034880 is an abundant number, since it is smaller than the sum of its proper divisors (14106477795840).

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

5387107034880 is a wasteful number, since it uses less digits than its factorization.

5387107034880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 5387107034880 in words is "five trillion, three hundred eighty-seven billion, one hundred seven million, thirty-four thousand, eight hundred eighty".