12533511630000 has 400 divisors, whose sum is σ = 42916912891776. Its totient is φ = 3140006400000.

The previous prime is 12533511629981. The next prime is 12533511630023. The reversal of 12533511630000 is 3611533521.

It is a tau number, because it is divible by the number of its divisors (400).

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 12533511630000.

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, 287108175 + ... + 287151825.

Almost surely, 2^{12533511630000} is an apocalyptic number.

12533511630000 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 12533511630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21458456445888).

12533511630000 is an abundant number, since it is smaller than the sum of its proper divisors (30383401261776).

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

12533511630000 is a wasteful number, since it uses less digits than its factorization.

12533511630000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44262 (or 44241 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The spelling of 12533511630000 in words is "twelve trillion, five hundred thirty-three billion, five hundred eleven million, six hundred thirty thousand".