10290264845472 has 72 divisors (see below), whose sum is σ = 29263917088224. Its totient is φ = 3429973828224.

The previous prime is 10290264845431. The next prime is 10290264845473. The reversal of 10290264845472 is 27454846209201.

10290264845472 is a `hidden beast` number, since 1 + 0 + 2 + 90 + 2 + 6 + 4 + 8 + 4 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (10290264845473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8279013 + ... + 9440475.

It is an arithmetic number, because the mean of its divisors is an integer number (406443292892).

Almost surely, 2^{10290264845472} is an apocalyptic number.

10290264845472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10290264845472 is an abundant number, since it is smaller than the sum of its proper divisors (18973652242752).

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

10290264845472 is a wasteful number, since it uses less digits than its factorization.

10290264845472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192242 (or 1192231 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 10290264845472 in words is "ten trillion, two hundred ninety billion, two hundred sixty-four million, eight hundred forty-five thousand, four hundred seventy-two".