10145619792 has 640 divisors, whose sum is σ = 38568960000. Its totient is φ = 2475601920.

The previous prime is 10145619739. The next prime is 10145619853. The reversal of 10145619792 is 29791654101.

10145619792 is a `hidden beast` number, since 1 + 0 + 1 + 456 + 197 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 68091334 + ... + 68091482.

It is an arithmetic number, because the mean of its divisors is an integer number (60264000).

Almost surely, 2^10145619792 is an apocalyptic number.

10145619792 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 10145619792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480000).

10145619792 is an abundant number, since it is smaller than the sum of its proper divisors (28423340208).

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

10145619792 is a wasteful number, since it uses less digits than its factorization.

10145619792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 10145619792 in words is "ten billion, one hundred forty-five million, six hundred nineteen thousand, seven hundred ninety-two".