23534501012000 has 768 divisors, whose sum is σ = 69671380746240. Its totient is φ = 7716902400000.

The previous prime is 23534501011997. The next prime is 23534501012039. The reversal of 23534501012000 is 21010543532.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1580868557 + ... + 1580883443.

It is an arithmetic number, because the mean of its divisors is an integer number (90717943680).

Almost surely, 2^{23534501012000} is an apocalyptic number.

23534501012000 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 23534501012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34835690373120).

23534501012000 is an abundant number, since it is smaller than the sum of its proper divisors (46136879734240).

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

23534501012000 is a wasteful number, since it uses less digits than its factorization.

23534501012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15034 (or 15016 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 23534501012000 its reverse (21010543532), we get a palindrome (23555511555532).

The spelling of 23534501012000 in words is "twenty-three trillion, five hundred thirty-four billion, five hundred one million, twelve thousand".