10192996512 has 144 divisors (see below), whose sum is σ = 29279577600. Its totient is φ = 3363503616.

The previous prime is 10192996487. The next prime is 10192996537. The reversal of 10192996512 is 21569929101.

10192996512 is a `hidden beast` number, since 10 + 19 + 29 + 96 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (10192996487) and next prime (10192996537).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10192996512² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16792113 + ... + 16792719.

It is an arithmetic number, because the mean of its divisors is an integer number (203330400).

Almost surely, 2^10192996512 is an apocalyptic number.

10192996512 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 10192996512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14639788800).

10192996512 is an abundant number, since it is smaller than the sum of its proper divisors (19086581088).

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

10192996512 is a wasteful number, since it uses less digits than its factorization.

10192996512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 10192996512 in words is "ten billion, one hundred ninety-two million, nine hundred ninety-six thousand, five hundred twelve".