11387587680 has 576 divisors, whose sum is σ = 48042408960. Its totient is φ = 2397745152.

The previous prime is 11387587639. The next prime is 11387587759. The reversal of 11387587680 is 8678578311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7085437 + ... + 7087043.

It is an arithmetic number, because the mean of its divisors is an integer number (83406960).

Almost surely, 2^11387587680 is an apocalyptic number.

11387587680 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 11387587680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24021204480).

11387587680 is an abundant number, since it is smaller than the sum of its proper divisors (36654821280).

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

11387587680 is a wasteful number, since it uses less digits than its factorization.

11387587680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 11387587680 in words is "eleven billion, three hundred eighty-seven million, five hundred eighty-seven thousand, six hundred eighty".