1087562972160 has 880 divisors, whose sum is σ = 4716166555584. Its totient is φ = 233952509952.

The previous prime is 1087562972159. The next prime is 1087562972207. The reversal of 1087562972160 is 612792657801.

1087562972160 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 5 + 629 + 7 + 2 + 1 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1087562972097 and 1087562972106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49340662 + ... + 49362698.

Almost surely, 2^{1087562972160} is an apocalyptic number.

1087562972160 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 1087562972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358083277792).

1087562972160 is an abundant number, since it is smaller than the sum of its proper divisors (3628603583424).

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

1087562972160 is a wasteful number, since it uses less digits than its factorization.

1087562972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22098 (or 22071 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 1087562972160 in words is "one trillion, eighty-seven billion, five hundred sixty-two million, nine hundred seventy-two thousand, one hundred sixty".