10552165210260 has 288 divisors, whose sum is σ = 32674706064000. Its totient is φ = 2756096824320.

The previous prime is 10552165210253. The next prime is 10552165210267. The reversal of 10552165210260 is 6201256125501.

10552165210260 is a `hidden beast` number, since 1 + 0 + 5 + 521 + 65 + 2 + 10 + 2 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (10552165210253) and next prime (10552165210267).

It is a super-2 number, since 2×10552165210260² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10552165210267) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 616824627 + ... + 616841733.

It is an arithmetic number, because the mean of its divisors is an integer number (113453840500).

Almost surely, 2^{10552165210260} is an apocalyptic number.

10552165210260 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 10552165210260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16337353032000).

10552165210260 is an abundant number, since it is smaller than the sum of its proper divisors (22122540853740).

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

10552165210260 is a wasteful number, since it uses less digits than its factorization.

10552165210260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17591 (or 17586 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 10552165210260 in words is "ten trillion, five hundred fifty-two billion, one hundred sixty-five million, two hundred ten thousand, two hundred sixty".