5123954410200 has 144 divisors (see below), whose sum is σ = 17574073714080. Its totient is φ = 1337315738880.

The previous prime is 5123954410187. The next prime is 5123954410229. The reversal of 5123954410200 is 20144593215.

5123954410200 is a `hidden beast` number, since 5 + 1 + 2 + 3 + 9 + 5 + 441 + 0 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 30198819 + ... + 30368018.

It is an arithmetic number, because the mean of its divisors is an integer number (122042178570).

Almost surely, 2^{5123954410200} is an apocalyptic number.

5123954410200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5123954410200 is an abundant number, since it is smaller than the sum of its proper divisors (12450119303880).

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

5123954410200 is a wasteful number, since it uses less digits than its factorization.

5123954410200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60566906 (or 60566894 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 5123954410200 in words is "five trillion, one hundred twenty-three billion, nine hundred fifty-four million, four hundred ten thousand, two hundred".