102472878027168 has 384 divisors, whose sum is σ = 331267871370240. Its totient is φ = 30556438133760.

The previous prime is 102472878027127. The next prime is 102472878027203. The reversal of 102472878027168 is 861720878274201.

102472878027168 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 7 + 287 + 80 + 271 + 6 + 8 = 666.

It is a super-2 number, since 2×102472878027168² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 602934330 + ... + 603104262.

It is an arithmetic number, because the mean of its divisors is an integer number (862676748360).

Almost surely, 2^{102472878027168} is an apocalyptic number.

102472878027168 is a gapful number since it is divisible by the number (18) 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 102472878027168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165633935685120).

102472878027168 is an abundant number, since it is smaller than the sum of its proper divisors (228794993343072).

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

102472878027168 is a wasteful number, since it uses less digits than its factorization.

102472878027168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170977 (or 170963 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 63.

The spelling of 102472878027168 in words is "one hundred two trillion, four hundred seventy-two billion, eight hundred seventy-eight million, twenty-seven thousand, one hundred sixty-eight".