20171587015060 has 192 divisors, whose sum is σ = 46693225635840. Its totient is φ = 7274320058880.

The previous prime is 20171587014941. The next prime is 20171587015061. The reversal of 20171587015060 is 6051078517102.

It is a super-2 number, since 2×20171587015060² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20171587014998 and 20171587015016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20171587015061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1964696047 + ... + 1964706313.

It is an arithmetic number, because the mean of its divisors is an integer number (243193883520).

Almost surely, 2^{20171587015060} is an apocalyptic number.

20171587015060 is a gapful number since it is divisible by the number (20) 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 20171587015060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23346612817920).

20171587015060 is an abundant number, since it is smaller than the sum of its proper divisors (26521638620780).

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

20171587015060 is a wasteful number, since it uses less digits than its factorization.

20171587015060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11166 (or 11164 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 43.

The spelling of 20171587015060 in words is "twenty trillion, one hundred seventy-one billion, five hundred eighty-seven million, fifteen thousand, sixty".