10490559279984 has 320 divisors, whose sum is σ = 37613215457280. Its totient is φ = 2729990615040.

The previous prime is 10490559279839. The next prime is 10490559279997. The reversal of 10490559279984 is 48997295509401.

10490559279984 is a `hidden beast` number, since 1 + 0 + 49 + 0 + 559 + 27 + 9 + 9 + 8 + 4 = 666.

It is a super-2 number, since 2×10490559279984² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1697719 + ... + 4885014.

It is an arithmetic number, because the mean of its divisors is an integer number (117541298304).

Almost surely, 2^{10490559279984} is an apocalyptic number.

10490559279984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10490559279984 is an abundant number, since it is smaller than the sum of its proper divisors (27122656177296).

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

10490559279984 is a wasteful number, since it uses less digits than its factorization.

10490559279984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6582805 (or 6582793 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 10490559279984 in words is "ten trillion, four hundred ninety billion, five hundred fifty-nine million, two hundred seventy-nine thousand, nine hundred eighty-four".