23193895104000 has 480 divisors, whose sum is σ = 86634195744096. Its totient is φ = 6185034547200.

The previous prime is 23193895103963. The next prime is 23193895104001. The reversal of 23193895104000 is 40159839132.

It is a happy number.

23193895104000 is a `hidden beast` number, since 2 + 3 + 1 + 93 + 8 + 9 + 510 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23193895104001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14806312 + ... + 16297688.

Almost surely, 2^{23193895104000} is an apocalyptic number.

23193895104000 is a gapful number since it is divisible by the number (20) 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 23193895104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43317097872048).

23193895104000 is an abundant number, since it is smaller than the sum of its proper divisors (63440300640096).

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

23193895104000 is an frugal number, since it uses more digits than its factorization.

23193895104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491425 (or 1491387 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 23193895104000 in words is "twenty-three trillion, one hundred ninety-three billion, eight hundred ninety-five million, one hundred four thousand".