11310528952320 has 384 divisors, whose sum is σ = 39550016862720. Its totient is φ = 2742569533440.

The previous prime is 11310528952249. The next prime is 11310528952321. The reversal of 11310528952320 is 2325982501311.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310528952321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26545765 + ... + 26968475.

It is an arithmetic number, because the mean of its divisors is an integer number (102994835580).

Almost surely, 2^{11310528952320} is an apocalyptic number.

11310528952320 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 11310528952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19775008431360).

11310528952320 is an abundant number, since it is smaller than the sum of its proper divisors (28239487910400).

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

11310528952320 is a wasteful number, since it uses less digits than its factorization.

11310528952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422821 (or 422801 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 11310528952320 in words is "eleven trillion, three hundred ten billion, five hundred twenty-eight million, nine hundred fifty-two thousand, three hundred twenty".