10986754560 has 640 divisors, whose sum is σ = 40445982720. Its totient is φ = 2526806016.

The previous prime is 10986754529. The next prime is 10986754573. The reversal of 10986754560 is 6545768901.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (51).

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 63 ways as a sum of consecutive naturals, for example, 106667469 + ... + 106667571.

It is an arithmetic number, because the mean of its divisors is an integer number (63196848).

Almost surely, 2^10986754560 is an apocalyptic number.

10986754560 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 10986754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20222991360).

10986754560 is an abundant number, since it is smaller than the sum of its proper divisors (29459228160).

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

10986754560 is a wasteful number, since it uses less digits than its factorization.

10986754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 10986754560 in words is "ten billion, nine hundred eighty-six million, seven hundred fifty-four thousand, five hundred sixty".