19057971438432 has 48 divisors (see below), whose sum is σ = 55585750031280. Its totient is φ = 6352657145856.

The previous prime is 19057971438431. The next prime is 19057971438433. The reversal of 19057971438432 is 23483417975091.

19057971438432 is a `hidden beast` number, since 1 + 9 + 0 + 57 + 9 + 7 + 143 + 8 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (19057971438431) and next prime (19057971438433).

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 19057971438432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19057971438431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11028917793 + ... + 11028919520.

It is an arithmetic number, because the mean of its divisors is an integer number (1158036458985).

Almost surely, 2^{19057971438432} is an apocalyptic number.

19057971438432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19057971438432 is an abundant number, since it is smaller than the sum of its proper divisors (36527778592848).

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

19057971438432 is a wasteful number, since it uses less digits than its factorization.

19057971438432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22057837332 (or 22057837318 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 19057971438432 in words is "nineteen trillion, fifty-seven billion, nine hundred seventy-one million, four hundred thirty-eight thousand, four hundred thirty-two".