1087075073664 has 192 divisors, whose sum is σ = 3142528028640. Its totient is φ = 360698738688.

The previous prime is 1087075073611. The next prime is 1087075073671. The reversal of 1087075073664 is 4663705707801.

1087075073664 is a `hidden beast` number, since 1 + 0 + 8 + 70 + 7 + 507 + 3 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1087075073664.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352601467 + ... + 352604549.

Almost surely, 2^{1087075073664} 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 1087075073664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571264014320).

1087075073664 is an abundant number, since it is smaller than the sum of its proper divisors (2055452954976).

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

1087075073664 is a wasteful number, since it uses less digits than its factorization.

1087075073664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4407 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 1087075073664 in words is "one trillion, eighty-seven billion, seventy-five million, seventy-three thousand, six hundred sixty-four".