10196121296592 has 960 divisors, whose sum is σ = 38837399961600. Its totient is φ = 2487644282880.

The previous prime is 10196121296591. The next prime is 10196121296657. The reversal of 10196121296592 is 29569212169101.

It is a happy number.

10196121296592 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 6 + 1 + 21 + 29 + 6 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10196121296591) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 8296273834 + ... + 8296275062.

It is an arithmetic number, because the mean of its divisors is an integer number (40455624960).

Almost surely, 2^{10196121296592} is an apocalyptic number.

10196121296592 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 10196121296592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19418699980800).

10196121296592 is an abundant number, since it is smaller than the sum of its proper divisors (28641278665008).

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

10196121296592 is a wasteful number, since it uses less digits than its factorization.

10196121296592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 10196121296592 in words is "ten trillion, one hundred ninety-six billion, one hundred twenty-one million, two hundred ninety-six thousand, five hundred ninety-two".