1007305528320 has 3168 divisors, whose sum is σ = 4794823627776. Its totient is φ = 200658124800.

The previous prime is 1007305528319. The next prime is 1007305528367. The reversal of 1007305528320 is 238255037001.

It is a happy number.

1007305528320 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 3 + 0 + 552 + 83 + 20 = 666.

It is a super-3 number, since 3×1007305528320³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24568427500 + ... + 24568427540.

Almost surely, 2^{1007305528320} is an apocalyptic number.

1007305528320 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 1007305528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397411813888).

1007305528320 is an abundant number, since it is smaller than the sum of its proper divisors (3787518099456).

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

1007305528320 is a wasteful number, since it uses less digits than its factorization.

1007305528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 1007305528320 in words is "one trillion, seven billion, three hundred five million, five hundred twenty-eight thousand, three hundred twenty".