10987964064 has 768 divisors, whose sum is σ = 42918543360. Its totient is φ = 2650475520.

The previous prime is 10987964063. The next prime is 10987964069. The reversal of 10987964064 is 46046978901.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10987964064.

It is not an unprimeable number, because it can be changed into a prime (10987964063) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65796109 + ... + 65796275.

It is an arithmetic number, because the mean of its divisors is an integer number (55883520).

Almost surely, 2^10987964064 is an apocalyptic number.

10987964064 is a gapful number since it is divisible by the number (14) 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 10987964064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21459271680).

10987964064 is an abundant number, since it is smaller than the sum of its proper divisors (31930579296).

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

10987964064 is a wasteful number, since it uses less digits than its factorization.

10987964064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 10987964064 in words is "ten billion, nine hundred eighty-seven million, nine hundred sixty-four thousand, sixty-four".