19792149120 has 160 divisors (see below), whose sum is σ = 70681523220. Its totient is φ = 5277892608.

The previous prime is 19792149119. The next prime is 19792149133. The reversal of 19792149120 is 2194129791.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19772859456 + 19289664 = 140616^2 + 4392^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139057 + ... + 242736.

Almost surely, 2^19792149120 is an apocalyptic number.

19792149120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19792149120 is an abundant number, since it is smaller than the sum of its proper divisors (50889374100).

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

19792149120 is an equidigital number, since it uses as much as digits as its factorization.

19792149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381824 (or 381803 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 19792149120 in words is "nineteen billion, seven hundred ninety-two million, one hundred forty-nine thousand, one hundred twenty".