20498071150080 has 960 divisors, whose sum is σ = 74522826233856. Its totient is φ = 5202247680000.

The previous prime is 20498071150079. The next prime is 20498071150211. The reversal of 20498071150080 is 8005117089402.

20498071150080 is a `hidden beast` number, since 2 + 0 + 498 + 0 + 7 + 1 + 150 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 7318124680 + ... + 7318127480.

Almost surely, 2^{20498071150080} is an apocalyptic number.

20498071150080 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 20498071150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37261413116928).

20498071150080 is an abundant number, since it is smaller than the sum of its proper divisors (54024755083776).

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

20498071150080 is a wasteful number, since it uses less digits than its factorization.

20498071150080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 20498071150080 in words is "twenty trillion, four hundred ninety-eight billion, seventy-one million, one hundred fifty thousand, eighty".