10826450028576 has 960 divisors, whose sum is σ = 40400297828352. Its totient is φ = 2768154974208.

The previous prime is 10826450028551. The next prime is 10826450028631. The reversal of 10826450028576 is 67582005462801.

10826450028576 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 6 + 45 + 0 + 0 + 28 + 576 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1186195725 + ... + 1186204851.

Almost surely, 2^{10826450028576} is an apocalyptic number.

10826450028576 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 10826450028576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20200148914176).

10826450028576 is an abundant number, since it is smaller than the sum of its proper divisors (29573847799776).

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

10826450028576 is a wasteful number, since it uses less digits than its factorization.

10826450028576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9323 (or 9306 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 10826450028576 in words is "ten trillion, eight hundred twenty-six billion, four hundred fifty million, twenty-eight thousand, five hundred seventy-six".