20157005314575 has 144 divisors (see below), whose sum is σ = 38867042260800. Its totient is φ = 9948776140800.

The previous prime is 20157005314561. The next prime is 20157005314627. The reversal of 20157005314575 is 57541350075102.

20157005314575 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 7 + 0 + 0 + 531 + 45 + 75 = 666.

It is not a de Polignac number, because 20157005314575 - 2⁵ = 20157005314543 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 20157005314575.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 774392661 + ... + 774418689.

It is an arithmetic number, because the mean of its divisors is an integer number (269910015700).

Almost surely, 2^{20157005314575} is an apocalyptic number.

20157005314575 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20157005314575 is a deficient number, since it is larger than the sum of its proper divisors (18710036946225).

20157005314575 is a wasteful number, since it uses less digits than its factorization.

20157005314575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29442 (or 29434 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 45.

Adding to 20157005314575 its reverse (57541350075102), we get a palindrome (77698355389677).

The spelling of 20157005314575 in words is "twenty trillion, one hundred fifty-seven billion, five million, three hundred fourteen thousand, five hundred seventy-five".