10506063330 has 192 divisors, whose sum is σ = 32352203520. Its totient is φ = 2315708928.

The previous prime is 10506063313. The next prime is 10506063343. The reversal of 10506063330 is 3336060501.

10506063330 is a `hidden beast` number, since 1 + 0 + 50 + 606 + 3 + 3 + 3 + 0 = 666.

It is a super-2 number, since 2×10506063330² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10506063294 and 10506063303.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1967344 + ... + 1972676.

It is an arithmetic number, because the mean of its divisors is an integer number (168501060).

Almost surely, 2^10506063330 is an apocalyptic number.

10506063330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10506063330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16176101760).

10506063330 is an abundant number, since it is smaller than the sum of its proper divisors (21846140190).

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

10506063330 is a wasteful number, since it uses less digits than its factorization.

10506063330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5465 (or 5462 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The spelling of 10506063330 in words is "ten billion, five hundred six million, sixty-three thousand, three hundred thirty".