1036524827520 has 1536 divisors, whose sum is σ = 4526075473920. Its totient is φ = 212793163776.

The previous prime is 1036524827497. The next prime is 1036524827537. The reversal of 1036524827520 is 257284256301.

1036524827520 is a `hidden beast` number, since 1 + 0 + 3 + 65 + 2 + 48 + 27 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3941158909 + ... + 3941159171.

It is an arithmetic number, because the mean of its divisors is an integer number (2946663720).

Almost surely, 2^{1036524827520} is an apocalyptic number.

1036524827520 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 1036524827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263037736960).

1036524827520 is an abundant number, since it is smaller than the sum of its proper divisors (3489550646400).

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

1036524827520 is a wasteful number, since it uses less digits than its factorization.

1036524827520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 1036524827520 in words is "one trillion, thirty-six billion, five hundred twenty-four million, eight hundred twenty-seven thousand, five hundred twenty".