165616532145540 has 576 divisors, whose sum is σ = 625665009876480. Its totient is φ = 36228275758080.

The previous prime is 165616532145509. The next prime is 165616532145541. The reversal of 165616532145540 is 45541235616561.

165616532145540 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 1 + 6 + 53 + 2 + 1 + 45 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (165616532145541) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58333617 + ... + 61106823.

It is an arithmetic number, because the mean of its divisors is an integer number (1086223975480).

Almost surely, 2^{165616532145540} is an apocalyptic number.

165616532145540 is a gapful number since it is divisible by the number (10) 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 165616532145540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312832504938240).

165616532145540 is an abundant number, since it is smaller than the sum of its proper divisors (460048477730940).

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

165616532145540 is a wasteful number, since it uses less digits than its factorization.

165616532145540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773337 (or 2773322 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 165616532145540 in words is "one hundred sixty-five trillion, six hundred sixteen billion, five hundred thirty-two million, one hundred forty-five thousand, five hundred forty".