1087527168000 has 3456 divisors, whose sum is σ = 5330825136000. Its totient is φ = 217379635200.

The previous prime is 1087527167977. The next prime is 1087527168029. The reversal of 1087527168000 is 8617257801.

It is a happy number.

1087527168000 is a `hidden beast` number, since 108 + 7 + 527 + 16 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×1087527168000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 57238271991 + ... + 57238272009.

It is an arithmetic number, because the mean of its divisors is an integer number (1542484125).

Almost surely, 2^{1087527168000} is an apocalyptic number.

1087527168000 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 1087527168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665412568000).

1087527168000 is an abundant number, since it is smaller than the sum of its proper divisors (4243297968000).

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

1087527168000 is a wasteful number, since it uses less digits than its factorization.

1087527168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 1087527168000 in words is "one trillion, eighty-seven billion, five hundred twenty-seven million, one hundred sixty-eight thousand".