11464642560 has 832 divisors, whose sum is σ = 46802718720. Its totient is φ = 2335703040.

The previous prime is 11464642559. The next prime is 11464642619. The reversal of 11464642560 is 6524646411.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187944930 + ... + 187944990.

Almost surely, 2^11464642560 is an apocalyptic number.

11464642560 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 11464642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23401359360).

11464642560 is an abundant number, since it is smaller than the sum of its proper divisors (35338076160).

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

11464642560 is a wasteful number, since it uses less digits than its factorization.

11464642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 11464642560 in words is "eleven billion, four hundred sixty-four million, six hundred forty-two thousand, five hundred sixty".