10098160291800 has 288 divisors, whose sum is σ = 38865678508800. Its totient is φ = 2301720503040.

The previous prime is 10098160291789. The next prime is 10098160291829. The reversal of 10098160291800 is 819206189001.

10098160291800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10098160291800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3407187 + ... + 5639613.

It is an arithmetic number, because the mean of its divisors is an integer number (134950272600).

Almost surely, 2^{10098160291800} is an apocalyptic number.

10098160291800 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 10098160291800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19432839254400).

10098160291800 is an abundant number, since it is smaller than the sum of its proper divisors (28767518217000).

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

10098160291800 is a wasteful number, since it uses less digits than its factorization.

10098160291800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232815 (or 2232803 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 10098160291800 in words is "ten trillion, ninety-eight billion, one hundred sixty million, two hundred ninety-one thousand, eight hundred".