10528149496968 has 96 divisors (see below), whose sum is σ = 29386754997600. Its totient is φ = 3403109251584.

The previous prime is 10528149496951. The next prime is 10528149496973. The reversal of 10528149496968 is 86969494182501.

10528149496968 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 8 + 1 + 49 + 496 + 96 + 8 = 666.

It is a super-2 number, since 2×10528149496968² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10528149496896 and 10528149496905.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11801905 + ... + 12662592.

It is an arithmetic number, because the mean of its divisors is an integer number (306112031225).

Almost surely, 2^{10528149496968} is an apocalyptic number.

10528149496968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10528149496968 is an abundant number, since it is smaller than the sum of its proper divisors (18858605500632).

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

10528149496968 is a wasteful number, since it uses less digits than its factorization.

10528149496968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24464691 (or 24464684 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 10528149496968 in words is "ten trillion, five hundred twenty-eight billion, one hundred forty-nine million, four hundred ninety-six thousand, nine hundred sixty-eight".