5210045123010 has 1536 divisors, whose sum is σ = 17928301805568. Its totient is φ = 955262730240.

The previous prime is 5210045122951. The next prime is 5210045123011. The reversal of 5210045123010 is 103215400125.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5210045123011) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 22951740517 + ... + 22951740743.

It is an arithmetic number, because the mean of its divisors is an integer number (11672071488).

Almost surely, 2^{5210045123010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5210045123010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8964150902784).

5210045123010 is an abundant number, since it is smaller than the sum of its proper divisors (12718256682558).

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

5210045123010 is a wasteful number, since it uses less digits than its factorization.

5210045123010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 5210045123010 in words is "five trillion, two hundred ten billion, forty-five million, one hundred twenty-three thousand, ten".