10135820016 has 240 divisors, whose sum is σ = 33613785088. Its totient is φ = 2790028800.

The previous prime is 10135819999. The next prime is 10135820027. The reversal of 10135820016 is 61002853101.

10135820016 is a `hidden beast` number, since 101 + 358 + 200 + 1 + 6 = 666.

It is a congruent number.

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, 8655111 + ... + 8656281.

Almost surely, 2^10135820016 is an apocalyptic number.

10135820016 is a gapful number since it is divisible by the number (16) 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 10135820016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16806892544).

10135820016 is an abundant number, since it is smaller than the sum of its proper divisors (23477965072).

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

10135820016 is a wasteful number, since it uses less digits than its factorization.

10135820016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 10135820016 in words is "ten billion, one hundred thirty-five million, eight hundred twenty thousand, sixteen".