19930177529472 has 384 divisors, whose sum is σ = 62520918768000. Its totient is φ = 5608213438464.

The previous prime is 19930177529467. The next prime is 19930177529497. The reversal of 19930177529472 is 27492577103991.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342478554 + ... + 342536742.

It is an arithmetic number, because the mean of its divisors is an integer number (162814892625).

Almost surely, 2^{19930177529472} is an apocalyptic number.

19930177529472 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 19930177529472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31260459384000).

19930177529472 is an abundant number, since it is smaller than the sum of its proper divisors (42590741238528).

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

19930177529472 is a wasteful number, since it uses less digits than its factorization.

19930177529472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58496 (or 58477 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 66.

The spelling of 19930177529472 in words is "nineteen trillion, nine hundred thirty billion, one hundred seventy-seven million, five hundred twenty-nine thousand, four hundred seventy-two".