10356355620 has 144 divisors (see below), whose sum is σ = 33909548400. Its totient is φ = 2543321088.

The previous prime is 10356355549. The next prime is 10356355643. The reversal of 10356355620 is 2655365301.

10356355620 is a `hidden beast` number, since 1 + 0 + 35 + 63 + 5 + 562 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 772728804 + 9583626816 = 27798^2 + 97896^2 .

It is a super-3 number, since 3×10356355620³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1045732 + ... + 1055588.

It is an arithmetic number, because the mean of its divisors is an integer number (235482975).

Almost surely, 2^10356355620 is an apocalyptic number.

10356355620 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 10356355620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16954774200).

10356355620 is an abundant number, since it is smaller than the sum of its proper divisors (23553192780).

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

10356355620 is a wasteful number, since it uses less digits than its factorization.

10356355620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10334 (or 10329 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 10356355620 in words is "ten billion, three hundred fifty-six million, three hundred fifty-five thousand, six hundred twenty".