11021300509632 has 224 divisors, whose sum is σ = 34145787561984. Its totient is φ = 3071542272000.

The previous prime is 11021300509631. The next prime is 11021300509811. The reversal of 11021300509632 is 23690500312011.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×11021300509632² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11021300509593 and 11021300509602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11021300509631) 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, 336173113 + ... + 336205895.

It is an arithmetic number, because the mean of its divisors is an integer number (152436551616).

Almost surely, 2^{11021300509632} is an apocalyptic number.

11021300509632 is a gapful number since it is divisible by the number (12) 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 11021300509632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17072893780992).

11021300509632 is an abundant number, since it is smaller than the sum of its proper divisors (23124487052352).

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

11021300509632 is a wasteful number, since it uses less digits than its factorization.

11021300509632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38947 (or 38937 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 11021300509632 in words is "eleven trillion, twenty-one billion, three hundred million, five hundred nine thousand, six hundred thirty-two".