1607126162130 has 96 divisors (see below), whose sum is σ = 4340674263744. Its totient is φ = 427836499776.

The previous prime is 1607126162129. The next prime is 1607126162137. The reversal of 1607126162130 is 312616217061.

1607126162130 is a `hidden beast` number, since 1 + 6 + 0 + 7 + 1 + 2 + 616 + 2 + 1 + 30 = 666.

It is a super-2 number, since 2×1607126162130² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1607126162137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 863064 + ... + 1989756.

It is an arithmetic number, because the mean of its divisors is an integer number (45215356914).

Almost surely, 2^{1607126162130} is an apocalyptic number.

1607126162130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1607126162130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170337131872).

1607126162130 is an abundant number, since it is smaller than the sum of its proper divisors (2733548101614).

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

1607126162130 is a wasteful number, since it uses less digits than its factorization.

1607126162130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127302 (or 1127290 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1607126162130 in words is "one trillion, six hundred seven billion, one hundred twenty-six million, one hundred sixty-two thousand, one hundred thirty".