11187464480640 has 1920 divisors, whose sum is σ = 48814367500800. Its totient is φ = 2401232781312.

The previous prime is 11187464480603. The next prime is 11187464480641. The reversal of 11187464480640 is 4608446478111.

11187464480640 is a `hidden beast` number, since 1 + 1 + 1 + 87 + 46 + 4 + 480 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 (11187464480641) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 25483973541 + ... + 25483973979.

It is an arithmetic number, because the mean of its divisors is an integer number (25424149740).

Almost surely, 2^{11187464480640} is an apocalyptic number.

11187464480640 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 11187464480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24407183750400).

11187464480640 is an abundant number, since it is smaller than the sum of its proper divisors (37626903020160).

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

11187464480640 is an frugal number, since it uses more digits than its factorization.

11187464480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 11187464480640 in words is "eleven trillion, one hundred eighty-seven billion, four hundred sixty-four million, four hundred eighty thousand, six hundred forty".