20349020465280 has 4032 divisors, whose sum is σ = 90192887510400. Its totient is φ = 4371193921536.

The previous prime is 20349020465273. The next prime is 20349020465287. The reversal of 20349020465280 is 8256402094302.

20349020465280 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 90 + 20 + 465 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (20349020465273) and next prime (20349020465287).

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

It is not an unprimeable number, because it can be changed into a prime (20349020465287) by changing a digit.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 432957882217 + ... + 432957882263.

Almost surely, 2^{20349020465280} is an apocalyptic number.

20349020465280 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 20349020465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45096443755200).

20349020465280 is an abundant number, since it is smaller than the sum of its proper divisors (69843867045120).

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

20349020465280 is a wasteful number, since it uses less digits than its factorization.

20349020465280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 20349020465280 in words is "twenty trillion, three hundred forty-nine billion, twenty million, four hundred sixty-five thousand, two hundred eighty".