161652527820 has 504 divisors, whose sum is σ = 623284124400. Its totient is φ = 35001517824.

The previous prime is 161652527819. The next prime is 161652527849. The reversal of 161652527820 is 28725256161.

161652527820 is a `hidden beast` number, since 1 + 61 + 65 + 2 + 527 + 8 + 2 + 0 = 666.

It is a super-2 number, since 2×161652527820² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 13568026 + ... + 13579934.

It is an arithmetic number, because the mean of its divisors is an integer number (1236674850).

Almost surely, 2^161652527820 is an apocalyptic number.

161652527820 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 161652527820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311642062200).

161652527820 is an abundant number, since it is smaller than the sum of its proper divisors (461631596580).

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

161652527820 is a wasteful number, since it uses less digits than its factorization.

161652527820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11969 (or 11945 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 161652527820 in words is "one hundred sixty-one billion, six hundred fifty-two million, five hundred twenty-seven thousand, eight hundred twenty".