11658746880 has 1056 divisors, whose sum is σ = 49397221440. Its totient is φ = 2595225600.

The previous prime is 11658746843. The next prime is 11658746881. The reversal of 11658746880 is 8864785611.

It is a happy number.

11658746880 is a `hidden beast` number, since 1 + 16 + 587 + 46 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11658746881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 284359660 + ... + 284359700.

Almost surely, 2^11658746880 is an apocalyptic number.

11658746880 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 11658746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24698610720).

11658746880 is an abundant number, since it is smaller than the sum of its proper divisors (37738474560).

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

11658746880 is a wasteful number, since it uses less digits than its factorization.

11658746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 11658746880 in words is "eleven billion, six hundred fifty-eight million, seven hundred forty-six thousand, eight hundred eighty".