19320504070140 has 1536 divisors, whose sum is σ = 79675674624000. Its totient is φ = 3784320663552.

The previous prime is 19320504070129. The next prime is 19320504070177. The reversal of 19320504070140 is 4107040502391.

19320504070140 is a `hidden beast` number, since 1 + 9 + 3 + 2 + 0 + 504 + 0 + 7 + 0 + 140 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 19320504070095 and 19320504070104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 19072560274 + ... + 19072561286.

It is an arithmetic number, because the mean of its divisors is an integer number (51872184000).

Almost surely, 2^{19320504070140} is an apocalyptic number.

19320504070140 is a gapful number since it is divisible by the number (10) 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 19320504070140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39837837312000).

19320504070140 is an abundant number, since it is smaller than the sum of its proper divisors (60355170553860).

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

19320504070140 is a wasteful number, since it uses less digits than its factorization.

19320504070140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 19320504070140 in words is "nineteen trillion, three hundred twenty billion, five hundred four million, seventy thousand, one hundred forty".