5102358829920 has 1536 divisors, whose sum is σ = 20721713725440. Its totient is φ = 1175731200000.

The previous prime is 5102358829769. The next prime is 5102358829927. The reversal of 5102358829920 is 299288532015.

It is a happy number.

5102358829920 is a `hidden beast` number, since 5 + 10 + 2 + 3 + 588 + 29 + 9 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5102358829927) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7278685570 + ... + 7278686270.

It is an arithmetic number, because the mean of its divisors is an integer number (13490699040).

Almost surely, 2^{5102358829920} 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 5102358829920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10360856862720).

5102358829920 is an abundant number, since it is smaller than the sum of its proper divisors (15619354895520).

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

5102358829920 is a wasteful number, since it uses less digits than its factorization.

5102358829920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 5102358829920 in words is "five trillion, one hundred two billion, three hundred fifty-eight million, eight hundred twenty-nine thousand, nine hundred twenty".