132633381988800 has 6048 divisors, whose sum is σ = 667646432893440. Its totient is φ = 24291311616000.

The previous prime is 132633381988753. The next prime is 132633381988813. The reversal of 132633381988800 is 8889183336231.

132633381988800 is a `hidden beast` number, since 1 + 32 + 6 + 3 + 338 + 198 + 8 + 80 + 0 = 666.

It is a super-2 number, since 2×132633381988800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 516083198272 + ... + 516083198528.

It is an arithmetic number, because the mean of its divisors is an integer number (110391275280).

Almost surely, 2^{132633381988800} is an apocalyptic number.

132633381988800 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 132633381988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333823216446720).

132633381988800 is an abundant number, since it is smaller than the sum of its proper divisors (535013050904640).

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

132633381988800 is a wasteful number, since it uses less digits than its factorization.

132633381988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 132633381988800 in words is "one hundred thirty-two trillion, six hundred thirty-three billion, three hundred eighty-one million, nine hundred eighty-eight thousand, eight hundred".