10519036227072 has 160 divisors (see below), whose sum is σ = 31293553632000. Its totient is φ = 3488724670464.

The previous prime is 10519036227013. The next prime is 10519036227109. The reversal of 10519036227072 is 27072263091501.

It is a happy number.

10519036227072 is a `hidden beast` number, since 1 + 0 + 5 + 19 + 0 + 3 + 622 + 7 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×10519036227072² (a number of 27 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 839103 + ... + 4662849.

It is an arithmetic number, because the mean of its divisors is an integer number (195584710200).

Almost surely, 2^{10519036227072} is an apocalyptic number.

10519036227072 is a gapful number since it is divisible by the number (12) 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 10519036227072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15646776816000).

10519036227072 is an abundant number, since it is smaller than the sum of its proper divisors (20774517404928).

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

10519036227072 is an equidigital number, since it uses as much as digits as its factorization.

10519036227072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823973 (or 3823951 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 10519036227072 in words is "ten trillion, five hundred nineteen billion, thirty-six million, two hundred twenty-seven thousand, seventy-two".