1087323264000 has 1760 divisors, whose sum is σ = 4451232614400. Its totient is φ = 262766592000.

The previous prime is 1087323263959. The next prime is 1087323264007. The reversal of 1087323264000 is 4623237801.

It is a happy number.

1087323264000 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 3 + 2 + 3 + 2 + 640 + 0 + 0 = 666.

It is a super-3 number, since 3×1087323264000³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087323264007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5463935901 + ... + 5463936099.

It is an arithmetic number, because the mean of its divisors is an integer number (2529109440).

Almost surely, 2^{1087323264000} is an apocalyptic number.

1087323264000 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 1087323264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225616307200).

1087323264000 is an abundant number, since it is smaller than the sum of its proper divisors (3363909350400).

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

1087323264000 is a wasteful number, since it uses less digits than its factorization.

1087323264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 1087323264000 in words is "one trillion, eighty-seven billion, three hundred twenty-three million, two hundred sixty-four thousand".