1087433596800 has 1536 divisors, whose sum is σ = 4436716032000. Its totient is φ = 258861588480.

The previous prime is 1087433596783. The next prime is 1087433596801. The reversal of 1087433596800 is 86953347801.

1087433596800 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 43 + 3 + 596 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087433596801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3133814227 + ... + 3133814573.

It is an arithmetic number, because the mean of its divisors is an integer number (2888487000).

Almost surely, 2^{1087433596800} is an apocalyptic number.

1087433596800 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 1087433596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218358016000).

1087433596800 is an abundant number, since it is smaller than the sum of its proper divisors (3349282435200).

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

1087433596800 is a wasteful number, since it uses less digits than its factorization.

1087433596800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1087433596800 in words is "one trillion, eighty-seven billion, four hundred thirty-three million, five hundred ninety-six thousand, eight hundred".