2130061959168 has 896 divisors, whose sum is σ = 7155477874944. Its totient is φ = 553648128000.

The previous prime is 2130061959161. The next prime is 2130061959187. The reversal of 2130061959168 is 8619591600312.

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 2130061959168.

It is not an unprimeable number, because it can be changed into a prime (2130061959161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6034169680 + ... + 6034170032.

It is an arithmetic number, because the mean of its divisors is an integer number (7986024414).

Almost surely, 2^{2130061959168} 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 2130061959168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577738937472).

2130061959168 is an abundant number, since it is smaller than the sum of its proper divisors (5025415915776).

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

2130061959168 is a wasteful number, since it uses less digits than its factorization.

2130061959168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The spelling of 2130061959168 in words is "two trillion, one hundred thirty billion, sixty-one million, nine hundred fifty-nine thousand, one hundred sixty-eight".