1130263553664 has 576 divisors, whose sum is σ = 4216931409600. Its totient is φ = 287935119360.

The previous prime is 1130263553641. The next prime is 1130263553677. The reversal of 1130263553664 is 4663553620311.

1130263553664 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 2 + 635 + 5 + 3 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18201709 + ... + 18263699.

It is an arithmetic number, because the mean of its divisors is an integer number (7321061475).

Almost surely, 2^{1130263553664} is an apocalyptic number.

1130263553664 is a gapful number since it is divisible by the number (14) 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 1130263553664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108465704800).

1130263553664 is an abundant number, since it is smaller than the sum of its proper divisors (3086667855936).

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

1130263553664 is a wasteful number, since it uses less digits than its factorization.

1130263553664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62061 (or 62039 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 1130263553664 in words is "one trillion, one hundred thirty billion, two hundred sixty-three million, five hundred fifty-three thousand, six hundred sixty-four".