10135490176 has 192 divisors, whose sum is σ = 24308640000. Its totient is φ = 4122593280.

The previous prime is 10135490173. The next prime is 10135490221. The reversal of 10135490176 is 67109453101.

It is a happy number.

It is a super-2 number, since 2×10135490176² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10135490173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68023350 + ... + 68023498.

It is an arithmetic number, because the mean of its divisors is an integer number (126607500).

Almost surely, 2^10135490176 is an apocalyptic number.

10135490176 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 10135490176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12154320000).

10135490176 is an abundant number, since it is smaller than the sum of its proper divisors (14173149824).

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

10135490176 is an equidigital number, since it uses as much as digits as its factorization.

10135490176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The spelling of 10135490176 in words is "ten billion, one hundred thirty-five million, four hundred ninety thousand, one hundred seventy-six".