5129142642624 has 448 divisors, whose sum is σ = 18665453786112. Its totient is φ = 1199768371200.

The previous prime is 5129142642607. The next prime is 5129142642643. The reversal of 5129142642624 is 4262462419215.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 7554414 + ... + 8205330.

It is an arithmetic number, because the mean of its divisors is an integer number (41663959344).

Almost surely, 2^{5129142642624} 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 5129142642624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9332726893056).

5129142642624 is an abundant number, since it is smaller than the sum of its proper divisors (13536311143488).

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

5129142642624 is a wasteful number, since it uses less digits than its factorization.

5129142642624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651004 (or 650994 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The spelling of 5129142642624 in words is "five trillion, one hundred twenty-nine billion, one hundred forty-two million, six hundred forty-two thousand, six hundred twenty-four".