10142779392 has 384 divisors, whose sum is σ = 31847961600. Its totient is φ = 3185049600.

The previous prime is 10142779391. The next prime is 10142779393. The reversal of 10142779392 is 29397724101.

It is an interprime number because it is at equal distance from previous prime (10142779391) and next prime (10142779393).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (10142779391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104564688 + ... + 104564784.

It is an arithmetic number, because the mean of its divisors is an integer number (82937400).

Almost surely, 2^10142779392 is an apocalyptic number.

10142779392 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 10142779392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15923980800).

10142779392 is an abundant number, since it is smaller than the sum of its proper divisors (21705182208).

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

10142779392 is an equidigital number, since it uses as much as digits as its factorization.

10142779392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 10142779392 in words is "ten billion, one hundred forty-two million, seven hundred seventy-nine thousand, three hundred ninety-two".