19008079009632 has 72 divisors (see below), whose sum is σ = 54102359375064. Its totient is φ = 6330384175104.

The previous prime is 19008079009603. The next prime is 19008079009669. The reversal of 19008079009632 is 23690097080091.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×19008079009632² (a number of 27 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 29062273 + ... + 29709120.

It is an arithmetic number, because the mean of its divisors is an integer number (751421657987).

Almost surely, 2^{19008079009632} is an apocalyptic number.

19008079009632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19008079009632 is an abundant number, since it is smaller than the sum of its proper divisors (35094280365432).

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

19008079009632 is a wasteful number, since it uses less digits than its factorization.

19008079009632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58772532 (or 58772521 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 19008079009632 in words is "nineteen trillion, eight billion, seventy-nine million, nine thousand, six hundred thirty-two".