10643615520 has 96 divisors (see below), whose sum is σ = 33749654400. Its totient is φ = 2819481600.

The previous prime is 10643615461. The next prime is 10643615533. The reversal of 10643615520 is 2551634601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10643615520² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 945 + ... + 145904.

It is an arithmetic number, because the mean of its divisors is an integer number (351558900).

Almost surely, 2^10643615520 is an apocalyptic number.

10643615520 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 10643615520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16874827200).

10643615520 is an abundant number, since it is smaller than the sum of its proper divisors (23106038880).

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

10643615520 is a wasteful number, since it uses less digits than its factorization.

10643615520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147018 (or 147010 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 10643615520 in words is "ten billion, six hundred forty-three million, six hundred fifteen thousand, five hundred twenty".