5035114586880 has 1008 divisors, whose sum is σ = 21006434293824. Its totient is φ = 1131926814720.

The previous prime is 5035114586863. The next prime is 5035114586987. The reversal of 5035114586880 is 886854115305.

5035114586880 is a `hidden beast` number, since 5 + 0 + 3 + 51 + 1 + 4 + 586 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 398435922 + ... + 398448558.

Almost surely, 2^{5035114586880} 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 5035114586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10503217146912).

5035114586880 is an abundant number, since it is smaller than the sum of its proper divisors (15971319706944).

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

5035114586880 is an equidigital number, since it uses as much as digits as its factorization.

5035114586880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12744 (or 12715 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 5035114586880 in words is "five trillion, thirty-five billion, one hundred fourteen million, five hundred eighty-six thousand, eight hundred eighty".