10190971517952 has 88 divisors (see below), whose sum is σ = 27545227742592. Its totient is φ = 3349145497600.

The previous prime is 10190971517929. The next prime is 10190971518011. The reversal of 10190971517952 is 25971517909101.

It is a junction number, because it is equal to n+sod(n) for n = 10190971517892 and 10190971517901.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23143674 + ... + 23579897.

Almost surely, 2^{10190971517952} is an apocalyptic number.

10190971517952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10190971517952 is an abundant number, since it is smaller than the sum of its proper divisors (17354256224640).

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

10190971517952 is an equidigital number, since it uses as much as digits as its factorization.

10190971517952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46723665 (or 46723647 counting only the distinct ones).

The product of its (nonzero) digits is 1786050, while the sum is 57.

The spelling of 10190971517952 in words is "ten trillion, one hundred ninety billion, nine hundred seventy-one million, five hundred seventeen thousand, nine hundred fifty-two".