1030688625120 has 768 divisors, whose sum is σ = 4095144345600. Its totient is φ = 211679723520.

The previous prime is 1030688625089. The next prime is 1030688625133. The reversal of 1030688625120 is 215268860301.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 2255335932 + ... + 2255336388.

It is an arithmetic number, because the mean of its divisors is an integer number (5332219200).

Almost surely, 2^{1030688625120} is an apocalyptic number.

1030688625120 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 1030688625120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047572172800).

1030688625120 is an abundant number, since it is smaller than the sum of its proper divisors (3064455720480).

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

1030688625120 is a wasteful number, since it uses less digits than its factorization.

1030688625120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 1030688625120 in words is "one trillion, thirty billion, six hundred eighty-eight million, six hundred twenty-five thousand, one hundred twenty".