10495117728 has 96 divisors (see below), whose sum is σ = 31030272000. Its totient is φ = 3450428928.

The previous prime is 10495117691. The next prime is 10495117733. The reversal of 10495117728 is 82771159401.

It is a happy number.

10495117728 is a `hidden beast` number, since 1 + 0 + 49 + 511 + 77 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10495117728² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20128 + ... + 146271.

It is an arithmetic number, because the mean of its divisors is an integer number (323232000).

Almost surely, 2^10495117728 is an apocalyptic number.

10495117728 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 10495117728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15515136000).

10495117728 is an abundant number, since it is smaller than the sum of its proper divisors (20535154272).

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

10495117728 is a wasteful number, since it uses less digits than its factorization.

10495117728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166491 (or 166477 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 10495117728 in words is "ten billion, four hundred ninety-five million, one hundred seventeen thousand, seven hundred twenty-eight".