3150540162000 has 2160 divisors, whose sum is σ = 14360980744656. Its totient is φ = 641152512000.

The previous prime is 3150540161983. The next prime is 3150540162001. The reversal of 3150540162000 is 2610450513.

3150540162000 is a `hidden beast` number, since 3 + 1 + 50 + 5 + 401 + 6 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1411971333696 + 1738568828304 = 1188264^2 + 1318548^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3150540162001) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5656265722 + ... + 5656266278.

Almost surely, 2^{3150540162000} is an apocalyptic number.

3150540162000 is a gapful number since it is divisible by the number (30) 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 3150540162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7180490372328).

3150540162000 is an abundant number, since it is smaller than the sum of its proper divisors (11210440582656).

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

3150540162000 is a wasteful number, since it uses less digits than its factorization.

3150540162000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 3150540162000 in words is "three trillion, one hundred fifty billion, five hundred forty million, one hundred sixty-two thousand".