11307738624 has 480 divisors, whose sum is σ = 38340403200. Its totient is φ = 2958778368.

The previous prime is 11307738613. The next prime is 11307738661. The reversal of 11307738624 is 42683770311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89037249 + ... + 89037375.

It is an arithmetic number, because the mean of its divisors is an integer number (79875840).

Almost surely, 2^11307738624 is an apocalyptic number.

11307738624 is a gapful number since it is divisible by the number (14) 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 11307738624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19170201600).

11307738624 is an abundant number, since it is smaller than the sum of its proper divisors (27032664576).

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

11307738624 is an equidigital number, since it uses as much as digits as its factorization.

11307738624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 11307738624 in words is "eleven billion, three hundred seven million, seven hundred thirty-eight thousand, six hundred twenty-four".