2153433514600 has 96 divisors (see below), whose sum is σ = 5155842292920. Its totient is φ = 835845073920.

The previous prime is 2153433514499. The next prime is 2153433514601. The reversal of 2153433514600 is 64153343512.

It can be written as a sum of positive squares in 12 ways, for example, as 1253678823684 + 899754690916 = 1119678^2 + 948554^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 2153433514600.

It is not an unprimeable number, because it can be changed into a prime (2153433514601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2370114 + ... + 3150286.

Almost surely, 2^{2153433514600} is an apocalyptic number.

2153433514600 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 2153433514600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577921146460).

2153433514600 is an abundant number, since it is smaller than the sum of its proper divisors (3002408778320).

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

2153433514600 is a wasteful number, since it uses less digits than its factorization.

2153433514600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780599 (or 780590 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 2153433514600 in words is "two trillion, one hundred fifty-three billion, four hundred thirty-three million, five hundred fourteen thousand, six hundred".