2152657123200 has 768 divisors, whose sum is σ = 8376213888000. Its totient is φ = 538030080000.

The previous prime is 2152657123157. The next prime is 2152657123223. The reversal of 2152657123200 is 23217562512.

2152657123200 is a `hidden beast` number, since 2 + 1 + 5 + 265 + 71 + 2 + 320 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 368665881 + ... + 368671719.

It is an arithmetic number, because the mean of its divisors is an integer number (10906528500).

Almost surely, 2^{2152657123200} is an apocalyptic number.

2152657123200 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 2152657123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188106944000).

2152657123200 is an abundant number, since it is smaller than the sum of its proper divisors (6223556764800).

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

2152657123200 is a wasteful number, since it uses less digits than its factorization.

2152657123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6140 (or 6117 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 2152657123200 in words is "two trillion, one hundred fifty-two billion, six hundred fifty-seven million, one hundred twenty-three thousand, two hundred".