5150524290288 has 480 divisors, whose sum is σ = 15458158739520. Its totient is φ = 1467106099200.

The previous prime is 5150524290277. The next prime is 5150524290293. The reversal of 5150524290288 is 8820924250515.

It is a happy number.

It is a super-2 number, since 2×5150524290288² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5150524290288.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1965097618 + ... + 1965100238.

It is an arithmetic number, because the mean of its divisors is an integer number (32204497374).

Almost surely, 2^{5150524290288} is an apocalyptic number.

5150524290288 is a gapful number since it is divisible by the number (58) 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 5150524290288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7729079369760).

5150524290288 is an abundant number, since it is smaller than the sum of its proper divisors (10307634449232).

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

5150524290288 is a wasteful number, since it uses less digits than its factorization.

5150524290288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 51.

The spelling of 5150524290288 in words is "five trillion, one hundred fifty billion, five hundred twenty-four million, two hundred ninety thousand, two hundred eighty-eight".