11329237920 has 1536 divisors, whose sum is σ = 54135889920. Its totient is φ = 1911029760.

The previous prime is 11329237919. The next prime is 11329237921. The reversal of 11329237920 is 2973292311.

It is an interprime number because it is at equal distance from previous prime (11329237919) and next prime (11329237921).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (11329237921) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 155195004 + ... + 155195076.

It is an arithmetic number, because the mean of its divisors is an integer number (35244720).

Almost surely, 2^11329237920 is an apocalyptic number.

11329237920 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 11329237920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27067944960).

11329237920 is an abundant number, since it is smaller than the sum of its proper divisors (42806652000).

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

11329237920 is a wasteful number, since it uses less digits than its factorization.

11329237920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 11329237920 in words is "eleven billion, three hundred twenty-nine million, two hundred thirty-seven thousand, nine hundred twenty".