10111642048992 has 96 divisors (see below), whose sum is σ = 29077221680640. Its totient is φ = 3051313233920.

The previous prime is 10111642048909. The next prime is 10111642048993. The reversal of 10111642048992 is 29984024611101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111642048993) 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 15 ways as a sum of consecutive naturals, for example, 19779873 + ... + 20284640.

It is an arithmetic number, because the mean of its divisors is an integer number (302887725840).

Almost surely, 2^{10111642048992} is an apocalyptic number.

10111642048992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10111642048992 is an abundant number, since it is smaller than the sum of its proper divisors (18965579631648).

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

10111642048992 is a wasteful number, since it uses less digits than its factorization.

10111642048992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40064776 (or 40064768 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 10111642048992 in words is "ten trillion, one hundred eleven billion, six hundred forty-two million, forty-eight thousand, nine hundred ninety-two".