10098530736000 has 1536 divisors, whose sum is σ = 41146018467840. Its totient is φ = 2181150720000.

The previous prime is 10098530735959. The next prime is 10098530736011. The reversal of 10098530736000 is 63703589001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3135214390 + ... + 3135217610.

It is an arithmetic number, because the mean of its divisors is an integer number (26787772440).

Almost surely, 2^{10098530736000} is an apocalyptic number.

10098530736000 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 10098530736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20573009233920).

10098530736000 is an abundant number, since it is smaller than the sum of its proper divisors (31047487731840).

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

10098530736000 is a wasteful number, since it uses less digits than its factorization.

10098530736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 10098530736000 in words is "ten trillion, ninety-eight billion, five hundred thirty million, seven hundred thirty-six thousand".