5165605156000 has 96 divisors (see below), whose sum is σ = 12697040118672. Its totient is φ = 2065403929600.

The previous prime is 5165605155989. The next prime is 5165605156009. The reversal of 5165605156000 is 6515065615.

It can be written as a sum of positive squares in 8 ways, for example, as 217525228816 + 4948079927184 = 466396^2 + 2224428^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5165605156009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9647322 + ... + 10168678.

Almost surely, 2^{5165605156000} is an apocalyptic number.

5165605156000 is a gapful number since it is divisible by the number (50) 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 5165605156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348520059336).

5165605156000 is an abundant number, since it is smaller than the sum of its proper divisors (7531434962672).

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

5165605156000 is a wasteful number, since it uses less digits than its factorization.

5165605156000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523859 (or 523841 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 40.

The spelling of 5165605156000 in words is "five trillion, one hundred sixty-five billion, six hundred five million, one hundred fifty-six thousand".