1320887433600 has 1152 divisors, whose sum is σ = 5954426704800. Its totient is φ = 284141813760.

The previous prime is 1320887433527. The next prime is 1320887433661. The reversal of 1320887433600 is 63347880231.

1320887433600 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 8 + 8 + 7 + 4 + 33 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1320887433600² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71962024 + ... + 71980376.

Almost surely, 2^{1320887433600} is an apocalyptic number.

1320887433600 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 1320887433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977213352400).

1320887433600 is an abundant number, since it is smaller than the sum of its proper divisors (4633539271200).

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

1320887433600 is a wasteful number, since it uses less digits than its factorization.

1320887433600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18417 (or 18387 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1320887433600 in words is "one trillion, three hundred twenty billion, eight hundred eighty-seven million, four hundred thirty-three thousand, six hundred".