20162591258628 has 576 divisors, whose sum is σ = 62568977264640. Its totient is φ = 4918693248000.

The previous prime is 20162591258617. The next prime is 20162591258743. The reversal of 20162591258628 is 82685219526102.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 191 ways as a sum of consecutive naturals, for example, 3512031838 + ... + 3512037578.

It is an arithmetic number, because the mean of its divisors is an integer number (108626696640).

Almost surely, 2^{20162591258628} is an apocalyptic number.

20162591258628 is a gapful number since it is divisible by the number (28) 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 20162591258628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31284488632320).

20162591258628 is an abundant number, since it is smaller than the sum of its proper divisors (42406386006012).

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

20162591258628 is a wasteful number, since it uses less digits than its factorization.

20162591258628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6016 (or 5995 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 57.

The spelling of 20162591258628 in words is "twenty trillion, one hundred sixty-two billion, five hundred ninety-one million, two hundred fifty-eight thousand, six hundred twenty-eight".