10132255333200 has 1920 divisors, whose sum is σ = 46561003905024. Its totient is φ = 1812529152000.

The previous prime is 10132255333163. The next prime is 10132255333243. The reversal of 10132255333200 is 233355223101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2307503005 + ... + 2307507395.

Almost surely, 2^{10132255333200} is an apocalyptic number.

10132255333200 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 10132255333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23280501952512).

10132255333200 is an abundant number, since it is smaller than the sum of its proper divisors (36428748571824).

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

10132255333200 is a wasteful number, since it uses less digits than its factorization.

10132255333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573 (or 4562 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The spelling of 10132255333200 in words is "ten trillion, one hundred thirty-two billion, two hundred fifty-five million, three hundred thirty-three thousand, two hundred".