2150653509600 has 288 divisors, whose sum is σ = 7171056023040. Its totient is φ = 559666851840.

The previous prime is 2150653509533. The next prime is 2150653509607. The reversal of 2150653509600 is 69053560512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2150653509607) 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, 19343769 + ... + 19454631.

It is an arithmetic number, because the mean of its divisors is an integer number (24899500080).

Almost surely, 2^{2150653509600} is an apocalyptic number.

2150653509600 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 2150653509600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585528011520).

2150653509600 is an abundant number, since it is smaller than the sum of its proper divisors (5020402513440).

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

2150653509600 is a wasteful number, since it uses less digits than its factorization.

2150653509600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111082 (or 111069 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 42.

The spelling of 2150653509600 in words is "two trillion, one hundred fifty billion, six hundred fifty-three million, five hundred nine thousand, six hundred".