10553420505140 has 48 divisors (see below), whose sum is σ = 23072957825232. Its totient is φ = 4051013078016.

The previous prime is 10553420505127. The next prime is 10553420505167. The reversal of 10553420505140 is 4150502435501.

It can be written as a sum of positive squares in 8 ways, for example, as 5550736 + 10553414954404 = 2356^2 + 3248602^2 .

It is a super-3 number, since 3×10553420505140³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10553420505140.

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 15 ways as a sum of consecutive naturals, for example, 97626659 + ... + 97734698.

It is an arithmetic number, because the mean of its divisors is an integer number (480686621359).

Almost surely, 2^{10553420505140} is an apocalyptic number.

10553420505140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10553420505140 is an abundant number, since it is smaller than the sum of its proper divisors (12519537320092).

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

10553420505140 is a wasteful number, since it uses less digits than its factorization.

10553420505140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195361476 (or 195361474 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

The spelling of 10553420505140 in words is "ten trillion, five hundred fifty-three billion, four hundred twenty million, five hundred five thousand, one hundred forty".