23533080012000 has 1920 divisors, whose sum is σ = 94623898457088. Its totient is φ = 5693898240000.

The previous prime is 23533080011983. The next prime is 23533080012017. The reversal of 23533080012000 is 21008033532.

23533080012000 is a `hidden beast` number, since 2 + 3 + 533 + 0 + 8 + 0 + 0 + 120 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23533080011983) and next prime (23533080012017).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 103669955887 + ... + 103669956113.

Almost surely, 2^{23533080012000} is an apocalyptic number.

23533080012000 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 23533080012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47311949228544).

23533080012000 is an abundant number, since it is smaller than the sum of its proper divisors (71090818445088).

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

23533080012000 is a wasteful number, since it uses less digits than its factorization.

23533080012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 23533080012000 its reverse (21008033532), we get a palindrome (23554088045532).

The spelling of 23533080012000 in words is "twenty-three trillion, five hundred thirty-three billion, eighty million, twelve thousand".