10498209504640 has 512 divisors, whose sum is σ = 29947611133440. Its totient is φ = 3468996771840.

The previous prime is 10498209504617. The next prime is 10498209504667. The reversal of 10498209504640 is 4640590289401.

It is a super-2 number, since 2×10498209504640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1596197032 + ... + 1596203608.

It is an arithmetic number, because the mean of its divisors is an integer number (58491427995).

Almost surely, 2^{10498209504640} is an apocalyptic number.

10498209504640 is a gapful number since it is divisible by the number (10) 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 10498209504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14973805566720).

10498209504640 is an abundant number, since it is smaller than the sum of its proper divisors (19449401628800).

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

10498209504640 is a wasteful number, since it uses less digits than its factorization.

10498209504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6890 (or 6878 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 10498209504640 in words is "ten trillion, four hundred ninety-eight billion, two hundred nine million, five hundred four thousand, six hundred forty".