2157145267200 has 2376 divisors, whose sum is σ = 9572621455872. Its totient is φ = 423198720000.

The previous prime is 2157145267061. The next prime is 2157145267201. The reversal of 2157145267200 is 27625417512.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157145267201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 52613299180 + ... + 52613299220.

Almost surely, 2^{2157145267200} is an apocalyptic number.

2157145267200 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 2157145267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4786310727936).

2157145267200 is an abundant number, since it is smaller than the sum of its proper divisors (7415476188672).

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

2157145267200 is a wasteful number, since it uses less digits than its factorization.

2157145267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 2157145267200 in words is "two trillion, one hundred fifty-seven billion, one hundred forty-five million, two hundred sixty-seven thousand, two hundred".