12152753766400 has 405 divisors, whose sum is σ = 32712613759371. Its totient is φ = 4476461383680.

The previous prime is 12152753766383. The next prime is 12152753766401. The reversal of 12152753766400 is 466735725121.

The square root of 12152753766400 is 3486080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3132390260736 + 9020363505664 = 1769856^2 + 3003392^2 .

It is not an unprimeable number, because it can be changed into a prime (12152753766401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29004185391 + ... + 29004185809.

Almost surely, 2^{12152753766400} is an apocalyptic number.

12152753766400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12152753766400 is the 3486080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12152753766400

12152753766400 is an abundant number, since it is smaller than the sum of its proper divisors (20559859992971).

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

12152753766400 is an frugal number, since it uses more digits than its factorization.

12152753766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 49.

Multiplying 12152753766400 by its sum of digits (49), we get a square (595484934553600 = 24402560²).

The spelling of 12152753766400 in words is "twelve trillion, one hundred fifty-two billion, seven hundred fifty-three million, seven hundred sixty-six thousand, four hundred".