20157633675102 has 256 divisors, whose sum is σ = 51712664371200. Its totient is φ = 5087041090560.

The previous prime is 20157633675089. The next prime is 20157633675121.

20157633675102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2711907178 + ... + 2711914610.

It is an arithmetic number, because the mean of its divisors is an integer number (202002595200).

Almost surely, 2^{20157633675102} is an apocalyptic number.

20157633675102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20157633675102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25856332185600).

20157633675102 is an abundant number, since it is smaller than the sum of its proper divisors (31555030696098).

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

20157633675102 is a wasteful number, since it uses less digits than its factorization.

20157633675102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8711.

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 20157633675102 in words is "twenty trillion, one hundred fifty-seven billion, six hundred thirty-three million, six hundred seventy-five thousand, one hundred two".