10198069539840 has 3168 divisors, whose sum is σ = 47556822104064. Its totient is φ = 1995681300480.

The previous prime is 10198069539817. The next prime is 10198069539893. The reversal of 10198069539840 is 4893596089101.

10198069539840 is a `hidden beast` number, since 1 + 0 + 1 + 98 + 0 + 6 + 9 + 539 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 287 ways as a sum of consecutive naturals, for example, 53393034145 + ... + 53393034335.

Almost surely, 2^{10198069539840} is an apocalyptic number.

10198069539840 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 10198069539840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23778411052032).

10198069539840 is an abundant number, since it is smaller than the sum of its proper divisors (37358752564224).

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

10198069539840 is a wasteful number, since it uses less digits than its factorization.

10198069539840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 10198069539840 in words is "ten trillion, one hundred ninety-eight billion, sixty-nine million, five hundred thirty-nine thousand, eight hundred forty".