20157919368192 has 66 divisors (see below), whose sum is σ = 58205554747418. Its totient is φ = 6719306452992.

The previous prime is 20157919368157. The next prime is 20157919368233. The reversal of 20157919368192 is 29186391975102.

20157919368192 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 79 + 19 + 368 + 192 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16563467390976 + 3594451977216 = 4069824^2 + 1895904^2 .

It is a super-2 number, since 2×20157919368192² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1093627903 + ... + 1093646334.

Almost surely, 2^{20157919368192} is an apocalyptic number.

It is an amenable number.

20157919368192 is an abundant number, since it is smaller than the sum of its proper divisors (38047635379226).

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

20157919368192 is a wasteful number, since it uses less digits than its factorization.

20157919368192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187274263 (or 2187274242 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 20157919368192 in words is "twenty trillion, one hundred fifty-seven billion, nine hundred nineteen million, three hundred sixty-eight thousand, one hundred ninety-two".