1087083952416 has 2592 divisors, whose sum is σ = 4631297186880. Its totient is φ = 248314429440.

The previous prime is 1087083952403. The next prime is 1087083952417. The reversal of 1087083952416 is 6142593807801.

1087083952416 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 0 + 8 + 395 + 241 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is not an unprimeable number, because it can be changed into a prime (1087083952417) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 14891560956 + ... + 14891561028.

It is an arithmetic number, because the mean of its divisors is an integer number (1786765890).

It is a 1-persistent number, because it is pandigital, but 2⋅1087083952416 = 2174167904832 is not.

Almost surely, 2^{1087083952416} is an apocalyptic number.

1087083952416 is a gapful number since it is divisible by the number (16) 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 1087083952416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315648593440).

1087083952416 is an abundant number, since it is smaller than the sum of its proper divisors (3544213234464).

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

1087083952416 is a wasteful number, since it uses less digits than its factorization.

1087083952416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1087083952416 in words is "one trillion, eighty-seven billion, eighty-three million, nine hundred fifty-two thousand, four hundred sixteen".