1030161888000 has 1080 divisors, whose sum is σ = 4459987756224. Its totient is φ = 235436544000.

The previous prime is 1030161887971. The next prime is 1030161888001. The reversal of 1030161888000 is 8881610301.

1030161888000 is a `hidden beast` number, since 1 + 0 + 30 + 1 + 618 + 8 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×1030161888000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1030161888001) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 127003945 + ... + 127012055.

Almost surely, 2^{1030161888000} is an apocalyptic number.

1030161888000 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 1030161888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229993878112).

1030161888000 is an abundant number, since it is smaller than the sum of its proper divisors (3429825868224).

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

1030161888000 is an frugal number, since it uses more digits than its factorization.

1030161888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8168 (or 8128 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 1030161888000 in words is "one trillion, thirty billion, one hundred sixty-one million, eight hundred eighty-eight thousand".