10653593270480 has 40 divisors (see below), whose sum is σ = 24769765982472. Its totient is φ = 4261409501184.

The previous prime is 10653593270459. The next prime is 10653593270503. The reversal of 10653593270480 is 8407239535601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 630493169296 + 10023100101184 = 794036^2 + 3165928^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×10653593270480³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15558692 + ... + 16228988.

It is a 2-persistent number, because it is pandigital, and so is 2⋅10653593270480 = 21307186540960, but 3⋅10653593270480 = 31960779811440 is not.

Almost surely, 2^{10653593270480} is an apocalyptic number.

10653593270480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10653593270480 is an abundant number, since it is smaller than the sum of its proper divisors (14116172711992).

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

10653593270480 is a wasteful number, since it uses less digits than its factorization.

10653593270480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868983 (or 868977 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 53.

The spelling of 10653593270480 in words is "ten trillion, six hundred fifty-three billion, five hundred ninety-three million, two hundred seventy thousand, four hundred eighty".