10557615264080 has 40 divisors (see below), whose sum is σ = 24546709062600. Its totient is φ = 4223002480128.

The previous prime is 10557615264061. The next prime is 10557615264101. The reversal of 10557615264080 is 8046251675501.

It can be written as a sum of positive squares in 4 ways, for example, as 26993175616 + 10530622088464 = 164296^2 + 3245092^2 .

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

It is a super-2 number, since 2×10557615264080² (a number of 27 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 7 ways as a sum of consecutive naturals, for example, 7760306 + ... + 9018734.

It is an arithmetic number, because the mean of its divisors is an integer number (613667726565).

Almost surely, 2^{10557615264080} is an apocalyptic number.

10557615264080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10557615264080 is an abundant number, since it is smaller than the sum of its proper divisors (13989093798520).

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

10557615264080 is a wasteful number, since it uses less digits than its factorization.

10557615264080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363311 (or 1363305 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 50.

The spelling of 10557615264080 in words is "ten trillion, five hundred fifty-seven billion, six hundred fifteen million, two hundred sixty-four thousand, eighty".