15233053440000 has 960 divisors, whose sum is σ = 56546953182720. Its totient is φ = 3613818880000.

The previous prime is 15233053439993. The next prime is 15233053440023. The reversal of 15233053440000 is 4435033251.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 15233053440000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1985276164 + ... + 1985283836.

It is an arithmetic number, because the mean of its divisors is an integer number (58903076232).

Almost surely, 2^{15233053440000} is an apocalyptic number.

15233053440000 is a gapful number since it is divisible by the number (10) 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 15233053440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28273476591360).

15233053440000 is an abundant number, since it is smaller than the sum of its proper divisors (41313899742720).

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

15233053440000 is an equidigital number, since it uses as much as digits as its factorization.

15233053440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7776 (or 7741 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 15233053440000 its reverse (4435033251), we get a palindrome (15237488473251).

The spelling of 15233053440000 in words is "fifteen trillion, two hundred thirty-three billion, fifty-three million, four hundred forty thousand".