11530214640 has 480 divisors, whose sum is σ = 48902870016. Its totient is φ = 2372198400.

The previous prime is 11530214621. The next prime is 11530214677. The reversal of 11530214640 is 4641203511.

It is a happy number.

11530214640 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 0 + 2 + 14 + 640 = 666.

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, 1967715 + ... + 1973565.

Almost surely, 2^11530214640 is an apocalyptic number.

11530214640 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 11530214640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24451435008).

11530214640 is an abundant number, since it is smaller than the sum of its proper divisors (37372655376).

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

11530214640 is a wasteful number, since it uses less digits than its factorization.

11530214640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5917 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 11530214640 in words is "eleven billion, five hundred thirty million, two hundred fourteen thousand, six hundred forty".