1030520983680 has 320 divisors, whose sum is σ = 3840188616000. Its totient is φ = 262857222144.

The previous prime is 1030520983631. The next prime is 1030520983691. The reversal of 1030520983680 is 863890250301.

It is a happy number.

1030520983680 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 520 + 98 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 760171 + ... + 1624469.

It is an arithmetic number, because the mean of its divisors is an integer number (12000589425).

Almost surely, 2^{1030520983680} is an apocalyptic number.

1030520983680 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 1030520983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920094308000).

1030520983680 is an abundant number, since it is smaller than the sum of its proper divisors (2809667632320).

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

1030520983680 is an equidigital number, since it uses as much as digits as its factorization.

1030520983680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864353 (or 864332 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1030520983680 in words is "one trillion, thirty billion, five hundred twenty million, nine hundred eighty-three thousand, six hundred eighty".