5103857606400 has 1728 divisors, whose sum is σ = 22038749429760. Its totient is φ = 1131721113600.

The previous prime is 5103857606347. The next prime is 5103857606401. The reversal of 5103857606400 is 46067583015.

5103857606400 is a `hidden beast` number, since 5 + 1 + 0 + 38 + 5 + 7 + 606 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5103857606401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5754066757 + ... + 5754067643.

It is an arithmetic number, because the mean of its divisors is an integer number (12753905920).

Almost surely, 2^{5103857606400} is an apocalyptic number.

5103857606400 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 5103857606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11019374714880).

5103857606400 is an abundant number, since it is smaller than the sum of its proper divisors (16934891823360).

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

5103857606400 is a wasteful number, since it uses less digits than its factorization.

5103857606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 5103857606400 in words is "five trillion, one hundred three billion, eight hundred fifty-seven million, six hundred six thousand, four hundred".