11496001680 has 480 divisors, whose sum is σ = 43676133120. Its totient is φ = 2773647360.

The previous prime is 11496001637. The next prime is 11496001697. The reversal of 11496001680 is 8610069411.

It is a happy number.

11496001680 is a `hidden beast` number, since 1 + 1 + 49 + 600 + 1 + 6 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 17934160 + ... + 17934800.

It is an arithmetic number, because the mean of its divisors is an integer number (90991944).

Almost surely, 2^11496001680 is an apocalyptic number.

11496001680 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 11496001680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21838066560).

11496001680 is an abundant number, since it is smaller than the sum of its proper divisors (32180131440).

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

11496001680 is a wasteful number, since it uses less digits than its factorization.

11496001680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 11496001680 in words is "eleven billion, four hundred ninety-six million, one thousand, six hundred eighty".