20814151680 has 720 divisors, whose sum is σ = 85466821440. Its totient is φ = 4586471424.

The previous prime is 20814151639. The next prime is 20814151681. The reversal of 20814151680 is 8615141802.

20814151680 is a `hidden beast` number, since 2 + 0 + 81 + 415 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20814151681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190955466 + ... + 190955574.

Almost surely, 2^20814151680 is an apocalyptic number.

20814151680 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 20814151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42733410720).

20814151680 is an abundant number, since it is smaller than the sum of its proper divisors (64652669760).

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

20814151680 is a wasteful number, since it uses less digits than its factorization.

20814151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 20814151680 in words is "twenty billion, eight hundred fourteen million, one hundred fifty-one thousand, six hundred eighty".