20617130880 has 384 divisors, whose sum is σ = 75571816320. Its totient is φ = 5368301568.

The previous prime is 20617130867. The next prime is 20617130887. The reversal of 20617130880 is 8803171602.

20617130880 is a `hidden beast` number, since 2 + 0 + 617 + 1 + 30 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20617130887) 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, 6685819 + ... + 6688901.

It is an arithmetic number, because the mean of its divisors is an integer number (196801605).

Almost surely, 2^20617130880 is an apocalyptic number.

20617130880 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 20617130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37785908160).

20617130880 is an abundant number, since it is smaller than the sum of its proper divisors (54954685440).

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

20617130880 is an equidigital number, since it uses as much as digits as its factorization.

20617130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 20617130880 in words is "twenty billion, six hundred seventeen million, one hundred thirty thousand, eight hundred eighty".