11460919680 has 384 divisors, whose sum is σ = 46160712000. Its totient is φ = 2619187200.

The previous prime is 11460919663. The next prime is 11460919751. The reversal of 11460919680 is 8691906411.

11460919680 is a `hidden beast` number, since 11 + 460 + 91 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11460919680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1972780 + ... + 1978580.

Almost surely, 2^11460919680 is an apocalyptic number.

11460919680 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 11460919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23080356000).

11460919680 is an abundant number, since it is smaller than the sum of its proper divisors (34699792320).

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

11460919680 is an equidigital number, since it uses as much as digits as its factorization.

11460919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5847 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 11460919680 in words is "eleven billion, four hundred sixty million, nine hundred nineteen thousand, six hundred eighty".