11387198712960 has 1280 divisors, whose sum is σ = 48570908221440. Its totient is φ = 2488007467008.

The previous prime is 11387198712947. The next prime is 11387198712973. The reversal of 11387198712960 is 6921789178311.

11387198712960 is a `hidden beast` number, since 1 + 1 + 387 + 198 + 7 + 1 + 2 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (11387198712947) and next prime (11387198712973).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 733372717 + ... + 733388243.

It is an arithmetic number, because the mean of its divisors is an integer number (37946022048).

Almost surely, 2^{11387198712960} is an apocalyptic number.

11387198712960 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 11387198712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24285454110720).

11387198712960 is an abundant number, since it is smaller than the sum of its proper divisors (37183709508480).

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

11387198712960 is a wasteful number, since it uses less digits than its factorization.

11387198712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15655 (or 15634 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 63.

The spelling of 11387198712960 in words is "eleven trillion, three hundred eighty-seven billion, one hundred ninety-eight million, seven hundred twelve thousand, nine hundred sixty".