3562161291072 has 252 divisors, whose sum is σ = 10650788817760. Its totient is φ = 1138173410304.

The previous prime is 3562161291071. The next prime is 3562161291113. The reversal of 3562161291072 is 2701921612653.

3562161291072 is a `hidden beast` number, since 3 + 5 + 6 + 21 + 612 + 9 + 1 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×3562161291072² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3562161291071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67307373 + ... + 67360275.

Almost surely, 2^{3562161291072} is an apocalyptic number.

3562161291072 is a gapful number since it is divisible by the number (32) 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 3562161291072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5325394408880).

3562161291072 is an abundant number, since it is smaller than the sum of its proper divisors (7088627526688).

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

3562161291072 is a wasteful number, since it uses less digits than its factorization.

3562161291072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53118 (or 53076 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 3562161291072 in words is "three trillion, five hundred sixty-two billion, one hundred sixty-one million, two hundred ninety-one thousand, seventy-two".