5102637475200 has 384 divisors, whose sum is σ = 17875375902720. Its totient is φ = 1274909982720.

The previous prime is 5102637475129. The next prime is 5102637475211. The reversal of 5102637475200 is 25747362015.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36323497 + ... + 36463703.

It is an arithmetic number, because the mean of its divisors is an integer number (46550458080).

Almost surely, 2^{5102637475200} is an apocalyptic number.

5102637475200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5102637475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8937687951360).

5102637475200 is an abundant number, since it is smaller than the sum of its proper divisors (12772738427520).

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

5102637475200 is a wasteful number, since it uses less digits than its factorization.

5102637475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140474 (or 140457 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 5102637475200 in words is "five trillion, one hundred two billion, six hundred thirty-seven million, four hundred seventy-five thousand, two hundred".