11950140384 has 288 divisors, whose sum is σ = 43665985440. Its totient is φ = 3151540224.

The previous prime is 11950140359. The next prime is 11950140451. The reversal of 11950140384 is 48304105911.

11950140384 is a `hidden beast` number, since 119 + 501 + 4 + 0 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 539512 + ... + 561224.

It is an arithmetic number, because the mean of its divisors is an integer number (151618005).

Almost surely, 2^11950140384 is an apocalyptic number.

11950140384 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 11950140384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21832992720).

11950140384 is an abundant number, since it is smaller than the sum of its proper divisors (31715845056).

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

11950140384 is a wasteful number, since it uses less digits than its factorization.

11950140384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21759 (or 21738 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11950140384 in words is "eleven billion, nine hundred fifty million, one hundred forty thousand, three hundred eighty-four".