10019192832 has 480 divisors, whose sum is σ = 33972825600. Its totient is φ = 2890137600.

The previous prime is 10019192831. The next prime is 10019192849. The reversal of 10019192832 is 23829191001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10019192831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141115357 + ... + 141115427.

It is an arithmetic number, because the mean of its divisors is an integer number (70776720).

Almost surely, 2^10019192832 is an apocalyptic number.

10019192832 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 10019192832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16986412800).

10019192832 is an abundant number, since it is smaller than the sum of its proper divisors (23953632768).

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

10019192832 is an equidigital number, since it uses as much as digits as its factorization.

10019192832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 10019192832 in words is "ten billion, nineteen million, one hundred ninety-two thousand, eight hundred thirty-two".