2153105125200 has 180 divisors, whose sum is σ = 7491386472960. Its totient is φ = 572661884160.

The previous prime is 2153105125181. The next prime is 2153105125219. The reversal of 2153105125200 is 25215013512.

2153105125200 is a `hidden beast` number, since 2 + 1 + 531 + 0 + 5 + 125 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2153105125181) and next prime (2153105125219).

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 598011 + ... + 2159589.

Almost surely, 2^{2153105125200} is an apocalyptic number.

2153105125200 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 2153105125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745693236480).

2153105125200 is an abundant number, since it is smaller than the sum of its proper divisors (5338281347760).

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

2153105125200 is a wasteful number, since it uses less digits than its factorization.

2153105125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561986 (or 1561972 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 2153105125200 in words is "two trillion, one hundred fifty-three billion, one hundred five million, one hundred twenty-five thousand, two hundred".