11896784640 has 864 divisors, whose sum is σ = 48346159680. Its totient is φ = 2675441664.

The previous prime is 11896784633. The next prime is 11896784663. The reversal of 11896784640 is 4648769811.

11896784640 is a `hidden beast` number, since 118 + 9 + 67 + 8 + 464 + 0 = 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, 105281224 + ... + 105281336.

Almost surely, 2^11896784640 is an apocalyptic number.

11896784640 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 11896784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24173079840).

11896784640 is an abundant number, since it is smaller than the sum of its proper divisors (36449375040).

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

11896784640 is a wasteful number, since it uses less digits than its factorization.

11896784640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 11896784640 in words is "eleven billion, eight hundred ninety-six million, seven hundred eighty-four thousand, six hundred forty".