20498583631680 has 2688 divisors, whose sum is σ = 96379363491840. Its totient is φ = 3902083891200.

The previous prime is 20498583631679. The next prime is 20498583631693. The reversal of 20498583631680 is 8613638589402.

It is a happy number.

20498583631680 is a `hidden beast` number, since 2 + 0 + 49 + 8 + 583 + 6 + 3 + 1 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15804612792 + ... + 15804614088.

Almost surely, 2^{20498583631680} is an apocalyptic number.

20498583631680 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 20498583631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48189681745920).

20498583631680 is an abundant number, since it is smaller than the sum of its proper divisors (75880779860160).

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

20498583631680 is a wasteful number, since it uses less digits than its factorization.

20498583631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 20498583631680 in words is "twenty trillion, four hundred ninety-eight billion, five hundred eighty-three million, six hundred thirty-one thousand, six hundred eighty".