10964418520 has 128 divisors (see below), whose sum is σ = 27845959680. Its totient is φ = 3849408000.

The previous prime is 10964418503. The next prime is 10964418593. The reversal of 10964418520 is 2581446901.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8906305 + ... + 8907535.

It is an arithmetic number, because the mean of its divisors is an integer number (217546560).

Almost surely, 2^10964418520 is an apocalyptic number.

10964418520 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 10964418520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13922979840).

10964418520 is an abundant number, since it is smaller than the sum of its proper divisors (16881541160).

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

10964418520 is a wasteful number, since it uses less digits than its factorization.

10964418520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

It can be divided in two parts, 109644 and 18520, that added together give a square (128164 = 358²).

The spelling of 10964418520 in words is "ten billion, nine hundred sixty-four million, four hundred eighteen thousand, five hundred twenty".