20689161480 has 512 divisors, whose sum is σ = 78575616000. Its totient is φ = 4803701760.

The previous prime is 20689161433. The next prime is 20689161481. The reversal of 20689161480 is 8416198602.

20689161480 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 9 + 161 + 480 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (20689161481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25510275 + ... + 25511085.

It is an arithmetic number, because the mean of its divisors is an integer number (153468000).

Almost surely, 2^20689161480 is an apocalyptic number.

20689161480 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 20689161480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39287808000).

20689161480 is an abundant number, since it is smaller than the sum of its proper divisors (57886454520).

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

20689161480 is a wasteful number, since it uses less digits than its factorization.

20689161480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 20689161480 in words is "twenty billion, six hundred eighty-nine million, one hundred sixty-one thousand, four hundred eighty".