19956057903432 has 192 divisors, whose sum is σ = 62125859727360. Its totient is φ = 5668799385600.

The previous prime is 19956057903409. The next prime is 19956057903449. The reversal of 19956057903432 is 23430975065991.

19956057903432 is a `hidden beast` number, since 1 + 9 + 9 + 5 + 60 + 57 + 90 + 3 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 19956057903432.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180247132 + ... + 180357812.

It is an arithmetic number, because the mean of its divisors is an integer number (323572186080).

Almost surely, 2^{19956057903432} is an apocalyptic number.

19956057903432 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 19956057903432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31062929863680).

19956057903432 is an abundant number, since it is smaller than the sum of its proper divisors (42169801823928).

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

19956057903432 is a wasteful number, since it uses less digits than its factorization.

19956057903432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112764 (or 112757 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 63.

The spelling of 19956057903432 in words is "nineteen trillion, nine hundred fifty-six billion, fifty-seven million, nine hundred three thousand, four hundred thirty-two".