9525920580000 has 1440 divisors, whose sum is σ = 39868033645440. Its totient is φ = 2132444160000.

The previous prime is 9525920579993. The next prime is 9525920580013. The reversal of 9525920580000 is 850295259.

9525920580000 is a `hidden beast` number, since 9 + 5 + 2 + 592 + 0 + 58 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

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 239 ways as a sum of consecutive naturals, for example, 1320656394 + ... + 1320663606.

It is an arithmetic number, because the mean of its divisors is an integer number (27686134476).

Almost surely, 2^{9525920580000} is an apocalyptic number.

9525920580000 is a gapful number since it is divisible by the number (90) 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 9525920580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19934016822720).

9525920580000 is an abundant number, since it is smaller than the sum of its proper divisors (30342113065440).

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

9525920580000 is a wasteful number, since it uses less digits than its factorization.

9525920580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7312 (or 7286 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 9525920580000 in words is "nine trillion, five hundred twenty-five billion, nine hundred twenty million, five hundred eighty thousand".