19052134139520 has 1024 divisors, whose sum is σ = 75694196736000. Its totient is φ = 4505863127040.

The previous prime is 19052134139513. The next prime is 19052134139569. The reversal of 19052134139520 is 2593143125091.

19052134139520 is a `hidden beast` number, since 1 + 9 + 0 + 5 + 213 + 41 + 395 + 2 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 354887080 + ... + 354940760.

It is an arithmetic number, because the mean of its divisors is an integer number (73920114000).

Almost surely, 2^{19052134139520} is an apocalyptic number.

19052134139520 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 19052134139520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37847098368000).

19052134139520 is an abundant number, since it is smaller than the sum of its proper divisors (56642062596480).

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

19052134139520 is a wasteful number, since it uses less digits than its factorization.

19052134139520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53798 (or 53780 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 19052134139520 in words is "nineteen trillion, fifty-two billion, one hundred thirty-four million, one hundred thirty-nine thousand, five hundred twenty".