1087705949184 has 1056 divisors, whose sum is σ = 3648048768000. Its totient is φ = 310239756288.

The previous prime is 1087705949081. The next prime is 1087705949201. The reversal of 1087705949184 is 4819495077801.

1087705949184 is a `hidden beast` number, since 10 + 8 + 7 + 7 + 0 + 59 + 491 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7825222587 + ... + 7825222725.

Almost surely, 2^{1087705949184} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1087705949184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824024384000).

1087705949184 is an abundant number, since it is smaller than the sum of its proper divisors (2560342818816).

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

1087705949184 is a wasteful number, since it uses less digits than its factorization.

1087705949184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 1087705949184 in words is "one trillion, eighty-seven billion, seven hundred five million, nine hundred forty-nine thousand, one hundred eighty-four".