10098640524000 has 1536 divisors, whose sum is σ = 41331114639360. Its totient is φ = 2104206336000.

The previous prime is 10098640523963. The next prime is 10098640524031. The reversal of 10098640524000 is 42504689001.

It is a self number, because there is not a number n which added to its sum of digits gives 10098640524000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4575730897 + ... + 4575733103.

It is an arithmetic number, because the mean of its divisors is an integer number (26908277760).

Almost surely, 2^{10098640524000} is an apocalyptic number.

10098640524000 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 10098640524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20665557319680).

10098640524000 is an abundant number, since it is smaller than the sum of its proper divisors (31232474115360).

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

10098640524000 is a wasteful number, since it uses less digits than its factorization.

10098640524000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 10098640524000 in words is "ten trillion, ninety-eight billion, six hundred forty million, five hundred twenty-four thousand".