1607012487168 has 416 divisors, whose sum is σ = 4978261762560. Its totient is φ = 455650836480.

The previous prime is 1607012487163. The next prime is 1607012487181. The reversal of 1607012487168 is 8617842107061.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 1607012487168.

It is not an unprimeable number, because it can be changed into a prime (1607012487163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411314271 + ... + 411318177.

Almost surely, 2^{1607012487168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1607012487168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489130881280).

1607012487168 is an abundant number, since it is smaller than the sum of its proper divisors (3371249275392).

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

1607012487168 is a wasteful number, since it uses less digits than its factorization.

1607012487168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4141 (or 4119 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The spelling of 1607012487168 in words is "one trillion, six hundred seven billion, twelve million, four hundred eighty-seven thousand, one hundred sixty-eight".