2153162120436 has 72 divisors (see below), whose sum is σ = 5536726106184. Its totient is φ = 705427430400.

The previous prime is 2153162120429. The next prime is 2153162120497. The reversal of 2153162120436 is 6340212613512.

2153162120436 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 1 + 6 + 212 + 0 + 436 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 275593500900 + 1877568619536 = 524970^2 + 1370244^2 .

It is a super-2 number, since 2×2153162120436² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2153162120436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1663105 + ... + 2659368.

It is an arithmetic number, because the mean of its divisors is an integer number (76898973697).

Almost surely, 2^{2153162120436} is an apocalyptic number.

It is an amenable number.

2153162120436 is an abundant number, since it is smaller than the sum of its proper divisors (3383563985748).

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

2153162120436 is a wasteful number, since it uses less digits than its factorization.

2153162120436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4322721 (or 4322716 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 2153162120436 its reverse (6340212613512), we get a palindrome (8493374733948).

The spelling of 2153162120436 in words is "two trillion, one hundred fifty-three billion, one hundred sixty-two million, one hundred twenty thousand, four hundred thirty-six".