11837434320 has 480 divisors, whose sum is σ = 42618700800. Its totient is φ = 2939904000.

The previous prime is 11837434319. The next prime is 11837434387. The reversal of 11837434320 is 2343473811.

11837434320 is a `hidden beast` number, since 1 + 183 + 7 + 43 + 432 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 117202270 + ... + 117202370.

It is an arithmetic number, because the mean of its divisors is an integer number (88788960).

Almost surely, 2^11837434320 is an apocalyptic number.

11837434320 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 11837434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21309350400).

11837434320 is an abundant number, since it is smaller than the sum of its proper divisors (30781266480).

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

11837434320 is a wasteful number, since it uses less digits than its factorization.

11837434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 11837434320 in words is "eleven billion, eight hundred thirty-seven million, four hundred thirty-four thousand, three hundred twenty".