2152827357120 has 2688 divisors, whose sum is σ = 9541743224832. Its totient is φ = 455462092800.

The previous prime is 2152827357061. The next prime is 2152827357127. The reversal of 2152827357120 is 217537282512.

It is a happy number.

2152827357120 is a `hidden beast` number, since 2 + 1 + 5 + 2 + 8 + 2 + 73 + 571 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152827357127) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13712276082 + ... + 13712276238.

It is an arithmetic number, because the mean of its divisors is an integer number (3549755664).

Almost surely, 2^{2152827357120} is an apocalyptic number.

2152827357120 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 2152827357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4770871612416).

2152827357120 is an abundant number, since it is smaller than the sum of its proper divisors (7388915867712).

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

2152827357120 is a wasteful number, since it uses less digits than its factorization.

2152827357120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 2152827357120 in words is "two trillion, one hundred fifty-two billion, eight hundred twenty-seven million, three hundred fifty-seven thousand, one hundred twenty".