5103538963200 has 864 divisors, whose sum is σ = 19654600358400. Its totient is φ = 1293322567680.

The previous prime is 5103538963121. The next prime is 5103538963301. The reversal of 5103538963200 is 23698353015.

It is a happy number.

5103538963200 is a `hidden beast` number, since 5 + 1 + 0 + 3 + 5 + 3 + 8 + 9 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×5103538963200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 623976711 + ... + 623984889.

Almost surely, 2^{5103538963200} is an apocalyptic number.

5103538963200 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 5103538963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9827300179200).

5103538963200 is an abundant number, since it is smaller than the sum of its proper divisors (14551061395200).

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

5103538963200 is a wasteful number, since it uses less digits than its factorization.

5103538963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8394 (or 8369 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 5103538963200 in words is "five trillion, one hundred three billion, five hundred thirty-eight million, nine hundred sixty-three thousand, two hundred".