5153420608512 has 704 divisors, whose sum is σ = 16267529044224. Its totient is φ = 1432942018560.

The previous prime is 5153420608507. The next prime is 5153420608541. The reversal of 5153420608512 is 2158060243515.

It is a tau number, because it is divible by the number of its divisors (704).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5876191818 + ... + 5876192694.

Almost surely, 2^{5153420608512} 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 5153420608512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8133764522112).

5153420608512 is an abundant number, since it is smaller than the sum of its proper divisors (11114108435712).

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

5153420608512 is a wasteful number, since it uses less digits than its factorization.

5153420608512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 5153420608512 in words is "five trillion, one hundred fifty-three billion, four hundred twenty million, six hundred eight thousand, five hundred twelve".