10987295965608 has 256 divisors, whose sum is σ = 29620658995200. Its totient is φ = 3385990460160.

The previous prime is 10987295965577. The next prime is 10987295965609. The reversal of 10987295965608 is 80656959278901.

It is a self number, because there is not a number n which added to its sum of digits gives 10987295965608.

It is not an unprimeable number, because it can be changed into a prime (10987295965609) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1437559435 + ... + 1437567077.

It is an arithmetic number, because the mean of its divisors is an integer number (115705699200).

Almost surely, 2^{10987295965608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10987295965608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14810329497600).

10987295965608 is an abundant number, since it is smaller than the sum of its proper divisors (18633363029592).

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

10987295965608 is a wasteful number, since it uses less digits than its factorization.

10987295965608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8172 (or 8168 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 75.

The spelling of 10987295965608 in words is "ten trillion, nine hundred eighty-seven billion, two hundred ninety-five million, nine hundred sixty-five thousand, six hundred eight".