11321095632 has 480 divisors, whose sum is σ = 39083212800. Its totient is φ = 2788531200.

The previous prime is 11321095613. The next prime is 11321095657. The reversal of 11321095632 is 23659012311.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 11321095593 and 11321095602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59272657 + ... + 59272847.

It is an arithmetic number, because the mean of its divisors is an integer number (81423360).

Almost surely, 2^11321095632 is an apocalyptic number.

11321095632 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 11321095632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19541606400).

11321095632 is an abundant number, since it is smaller than the sum of its proper divisors (27762117168).

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

11321095632 is a wasteful number, since it uses less digits than its factorization.

11321095632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 322 counting only the distinct ones).

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

The spelling of 11321095632 in words is "eleven billion, three hundred twenty-one million, ninety-five thousand, six hundred thirty-two".