10862959680 has 224 divisors, whose sum is σ = 40339670400. Its totient is φ = 2744285184.

The previous prime is 10862959649. The next prime is 10862959687. The reversal of 10862959680 is 8695926801.

It is a happy number.

10862959680 is a `hidden beast` number, since 1 + 0 + 8 + 629 + 5 + 9 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10862959687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131074 + ... + 197246.

Almost surely, 2^10862959680 is an apocalyptic number.

10862959680 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 10862959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20169835200).

10862959680 is an abundant number, since it is smaller than the sum of its proper divisors (29476710720).

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

10862959680 is a wasteful number, since it uses less digits than its factorization.

10862959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66218 (or 66202 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 10862959680 in words is "ten billion, eight hundred sixty-two million, nine hundred fifty-nine thousand, six hundred eighty".