5100477625200 has 720 divisors, whose sum is σ = 18860919966720. Its totient is φ = 1170851512320.

The previous prime is 5100477625153. The next prime is 5100477625247. The reversal of 5100477625200 is 25267740015.

It is an interprime number because it is at equal distance from previous prime (5100477625153) and next prime (5100477625247).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 325963777 + ... + 325979423.

It is an arithmetic number, because the mean of its divisors is an integer number (26195722176).

Almost surely, 2^{5100477625200} is an apocalyptic number.

5100477625200 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 5100477625200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9430459983360).

5100477625200 is an abundant number, since it is smaller than the sum of its proper divisors (13760442341520).

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

5100477625200 is a wasteful number, since it uses less digits than its factorization.

5100477625200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15762 (or 15722 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The spelling of 5100477625200 in words is "five trillion, one hundred billion, four hundred seventy-seven million, six hundred twenty-five thousand, two hundred".