10506683363328 has 650 divisors, whose sum is σ = 33266525746124. Its totient is φ = 3317900009472.

The previous prime is 10506683363311. The next prime is 10506683363357. The reversal of 10506683363328 is 82336338660501.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10506683363328 is a `hidden beast` number, since 1 + 0 + 506 + 6 + 83 + 3 + 6 + 33 + 28 = 666.

It is a super-2 number, since 2×10506683363328² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 10506683363328 = 2736³ + 21888³ = 12312³ + 20520³.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 552983334903 + ... + 552983334921.

Almost surely, 2^{10506683363328} is an apocalyptic number.

10506683363328 is a gapful number since it is divisible by the number (18) 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 10506683363328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16633262873062).

10506683363328 is an abundant number, since it is smaller than the sum of its proper divisors (22759842382796).

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

10506683363328 is an frugal number, since it uses more digits than its factorization.

10506683363328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 10506683363328 in words is "ten trillion, five hundred six billion, six hundred eighty-three million, three hundred sixty-three thousand, three hundred twenty-eight".