10199152836480 has 512 divisors, whose sum is σ = 34054139750400. Its totient is φ = 2593712046080.

The previous prime is 10199152836461. The next prime is 10199152836529. The reversal of 10199152836480 is 8463825199101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10199152836480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4547102239 + ... + 4547104481.

It is an arithmetic number, because the mean of its divisors is an integer number (66511991700).

Almost surely, 2^{10199152836480} is an apocalyptic number.

10199152836480 is a gapful number since it is divisible by the number (10) 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 10199152836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17027069875200).

10199152836480 is an abundant number, since it is smaller than the sum of its proper divisors (23854986913920).

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

10199152836480 is a wasteful number, since it uses less digits than its factorization.

10199152836480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 3570 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 57.

The spelling of 10199152836480 in words is "ten trillion, one hundred ninety-nine billion, one hundred fifty-two million, eight hundred thirty-six thousand, four hundred eighty".