5106210127200 has 1728 divisors, whose sum is σ = 24335027458560. Its totient is φ = 1013920727040.

The previous prime is 5106210127199. The next prime is 5106210127211. The reversal of 5106210127200 is 27210126015.

5106210127200 is a `hidden beast` number, since 5 + 1 + 0 + 621 + 0 + 12 + 7 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 300728311 + ... + 300745289.

It is an arithmetic number, because the mean of its divisors is an integer number (14082770520).

Almost surely, 2^{5106210127200} is an apocalyptic number.

5106210127200 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 5106210127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12167513729280).

5106210127200 is an abundant number, since it is smaller than the sum of its proper divisors (19228817331360).

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

5106210127200 is a wasteful number, since it uses less digits than its factorization.

5106210127200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17051 (or 17026 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 5106210127200 in words is "five trillion, one hundred six billion, two hundred ten million, one hundred twenty-seven thousand, two hundred".