20261162610 has 224 divisors, whose sum is σ = 59141617920. Its totient is φ = 4965784704.

The previous prime is 20261162569. The next prime is 20261162653. The reversal of 20261162610 is 1626116202.

20261162610 is a `hidden beast` number, since 2 + 0 + 26 + 1 + 1 + 626 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 41603787 + ... + 41604273.

It is an arithmetic number, because the mean of its divisors is an integer number (264025080).

Almost surely, 2^20261162610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20261162610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29570808960).

20261162610 is an abundant number, since it is smaller than the sum of its proper divisors (38880455310).

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

20261162610 is a wasteful number, since it uses less digits than its factorization.

20261162610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 20261162610 its reverse (1626116202), we get a palindrome (21887278812).

The spelling of 20261162610 in words is "twenty billion, two hundred sixty-one million, one hundred sixty-two thousand, six hundred ten".