20610178560 has 720 divisors, whose sum is σ = 79426947600. Its totient is φ = 4924440576.

The previous prime is 20610178559. The next prime is 20610178621. The reversal of 20610178560 is 6587101602.

20610178560 is a `hidden beast` number, since 20 + 6 + 1 + 0 + 1 + 78 + 560 = 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 231574996 + ... + 231575084.

It is an arithmetic number, because the mean of its divisors is an integer number (110315205).

Almost surely, 2^20610178560 is an apocalyptic number.

20610178560 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 20610178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39713473800).

20610178560 is an abundant number, since it is smaller than the sum of its proper divisors (58816769040).

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

20610178560 is a wasteful number, since it uses less digits than its factorization.

20610178560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 20610178560 in words is "twenty billion, six hundred ten million, one hundred seventy-eight thousand, five hundred sixty".