1253932563200 has 216 divisors, whose sum is σ = 3219414079728. Its totient is φ = 483189719040.

The previous prime is 1253932563113. The next prime is 1253932563239. The reversal of 1253932563200 is 23652393521.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20058392 + ... + 20120808.

Almost surely, 2^{1253932563200} is an apocalyptic number.

1253932563200 is a gapful number since it is divisible by the number (10) 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 1253932563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609707039864).

1253932563200 is an abundant number, since it is smaller than the sum of its proper divisors (1965481516528).

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

1253932563200 is an equidigital number, since it uses as much as digits as its factorization.

1253932563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62559 (or 62540 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 41.

The spelling of 1253932563200 in words is "one trillion, two hundred fifty-three billion, nine hundred thirty-two million, five hundred sixty-three thousand, two hundred".