5010624112032 has 1536 divisors, whose sum is σ = 20088107827200. Its totient is φ = 1175731200000.

The previous prime is 5010624112019. The next prime is 5010624112033. The reversal of 5010624112032 is 2302114260105.

5010624112032 is a `hidden beast` number, since 5 + 0 + 1 + 0 + 624 + 1 + 1 + 2 + 0 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5010624111987 and 5010624112005.

It is not an unprimeable number, because it can be changed into a prime (5010624112033) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 2782133532 + ... + 2782135332.

It is an arithmetic number, because the mean of its divisors is an integer number (13078195200).

Almost surely, 2^{5010624112032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5010624112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10044053913600).

5010624112032 is an abundant number, since it is smaller than the sum of its proper divisors (15077483715168).

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

5010624112032 is a wasteful number, since it uses less digits than its factorization.

5010624112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 5010624112032 its reverse (2302114260105), we get a palindrome (7312738372137).

The spelling of 5010624112032 in words is "five trillion, ten billion, six hundred twenty-four million, one hundred twelve thousand, thirty-two".