21098513180160 has 1600 divisors, whose sum is σ = 84433235927040. Its totient is φ = 5021111255040.

The previous prime is 21098513180153. The next prime is 21098513180177. The reversal of 21098513180160 is 6108131589012.

21098513180160 is a `hidden beast` number, since 2 + 109 + 8 + 513 + 18 + 0 + 16 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 20306556921 + ... + 20306557959.

Almost surely, 2^{21098513180160} is an apocalyptic number.

21098513180160 is a gapful number since it is divisible by the number (20) 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 21098513180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42216617963520).

21098513180160 is an abundant number, since it is smaller than the sum of its proper divisors (63334722746880).

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

21098513180160 is an frugal number, since it uses more digits than its factorization.

21098513180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 21098513180160 in words is "twenty-one trillion, ninety-eight billion, five hundred thirteen million, one hundred eighty thousand, one hundred sixty".