10498263560064 has 288 divisors, whose sum is σ = 35148237579000. Its totient is φ = 2998977214464.

The previous prime is 10498263560063. The next prime is 10498263560069. The reversal of 10498263560064 is 46006536289401.

10498263560064 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 8 + 26 + 3 + 5 + 600 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10498263560064² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10498263560063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 414823699 + ... + 414849005.

Almost surely, 2^{10498263560064} is an apocalyptic number.

10498263560064 is a gapful number since it is divisible by the number (14) 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 10498263560064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17574118789500).

10498263560064 is an abundant number, since it is smaller than the sum of its proper divisors (24649974018936).

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

10498263560064 is a wasteful number, since it uses less digits than its factorization.

10498263560064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32690 (or 32668 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 10498263560064 in words is "ten trillion, four hundred ninety-eight billion, two hundred sixty-three million, five hundred sixty thousand, sixty-four".