1087484986368 has 264 divisors, whose sum is σ = 3428376453216. Its totient is φ = 329269248000.

The previous prime is 1087484986277. The next prime is 1087484986369. The reversal of 1087484986368 is 8636894847801.

1087484986368 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 484 + 9 + 86 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1087484986296 and 1087484986305.

It is not an unprimeable number, because it can be changed into a prime (1087484986369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147092880 + ... + 147100272.

It is an arithmetic number, because the mean of its divisors is an integer number (12986274444).

Almost surely, 2^{1087484986368} is an apocalyptic number.

1087484986368 is a gapful number since it is divisible by the number (18) 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 1087484986368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714188226608).

1087484986368 is an abundant number, since it is smaller than the sum of its proper divisors (2340891466848).

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

1087484986368 is a wasteful number, since it uses less digits than its factorization.

1087484986368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8881 (or 8860 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 1087484986368 in words is "one trillion, eighty-seven billion, four hundred eighty-four million, nine hundred eighty-six thousand, three hundred sixty-eight".