10653467520 has 384 divisors, whose sum is σ = 37647620640. Its totient is φ = 2553413632.

The previous prime is 10653467509. The next prime is 10653467551. The reversal of 10653467520 is 2576435601.

10653467520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10653467520² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17266252 + ... + 17266868.

Almost surely, 2^10653467520 is an apocalyptic number.

10653467520 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 10653467520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18823810320).

10653467520 is an abundant number, since it is smaller than the sum of its proper divisors (26994153120).

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

10653467520 is a wasteful number, since it uses less digits than its factorization.

10653467520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 10653467520 in words is "ten billion, six hundred fifty-three million, four hundred sixty-seven thousand, five hundred twenty".