20098406880 has 240 divisors, whose sum is σ = 72096260544. Its totient is φ = 5271505920.

The previous prime is 20098406879. The next prime is 20098406897. The reversal of 20098406880 is 8860489002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×20098406880² (a number of 21 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 777849 + ... + 803271.

Almost surely, 2^20098406880 is an apocalyptic number.

20098406880 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 20098406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36048130272).

20098406880 is an abundant number, since it is smaller than the sum of its proper divisors (51997853664).

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

20098406880 is a wasteful number, since it uses less digits than its factorization.

20098406880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25511 (or 25494 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 20098406880 in words is "twenty billion, ninety-eight million, four hundred six thousand, eight hundred eighty".