5029000314624 has 288 divisors, whose sum is σ = 17471578924800. Its totient is φ = 1406713098240.

The previous prime is 5029000314587. The next prime is 5029000314629. The reversal of 5029000314624 is 4264130009205.

It is a happy number.

5029000314624 is a `hidden beast` number, since 5 + 0 + 29 + 0 + 0 + 0 + 3 + 1 + 4 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5029000314624² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5029000314629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1555554 + ... + 3532385.

It is an arithmetic number, because the mean of its divisors is an integer number (60665204600).

Almost surely, 2^{5029000314624} is an apocalyptic number.

5029000314624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5029000314624 is an abundant number, since it is smaller than the sum of its proper divisors (12442578610176).

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

5029000314624 is a wasteful number, since it uses less digits than its factorization.

5029000314624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5087988 (or 5087968 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 5029000314624 in words is "five trillion, twenty-nine billion, three hundred fourteen thousand, six hundred twenty-four".