19953193467864 has 256 divisors, whose sum is σ = 53582297932800. Its totient is φ = 6173372620800.

The previous prime is 19953193467863. The next prime is 19953193467877. The reversal of 19953193467864 is 46876439135991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19953193467863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8634007269 + ... + 8634009579.

It is an arithmetic number, because the mean of its divisors is an integer number (209305851300).

Almost surely, 2^{19953193467864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19953193467864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26791148966400).

19953193467864 is an abundant number, since it is smaller than the sum of its proper divisors (33629104464936).

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

19953193467864 is a wasteful number, since it uses less digits than its factorization.

19953193467864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4026 (or 4022 counting only the distinct ones).

The product of its digits is 1058158080, while the sum is 75.

The spelling of 19953193467864 in words is "nineteen trillion, nine hundred fifty-three billion, one hundred ninety-three million, four hundred sixty-seven thousand, eight hundred sixty-four".