11540416680 has 640 divisors, whose sum is σ = 45050100480. Its totient is φ = 2624348160.

The previous prime is 11540416649. The next prime is 11540416711. The reversal of 11540416680 is 8661404511.

11540416680 is a `hidden beast` number, since 1 + 15 + 404 + 166 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (11540416649) and next prime (11540416711).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 50838727 + ... + 50838953.

It is an arithmetic number, because the mean of its divisors is an integer number (70390782).

Almost surely, 2^11540416680 is an apocalyptic number.

11540416680 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 11540416680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22525050240).

11540416680 is an abundant number, since it is smaller than the sum of its proper divisors (33509683800).

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

11540416680 is a wasteful number, since it uses less digits than its factorization.

11540416680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11540416680 in words is "eleven billion, five hundred forty million, four hundred sixteen thousand, six hundred eighty".