161639059680 has 288 divisors, whose sum is σ = 658102747680. Its totient is φ = 36946022400.

The previous prime is 161639059607. The next prime is 161639059697. The reversal of 161639059680 is 86950936161.

161639059680 is a `hidden beast` number, since 1 + 6 + 16 + 39 + 0 + 596 + 8 + 0 = 666.

161639059680 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×161639059680² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170121 + ... + 593480.

It is an arithmetic number, because the mean of its divisors is an integer number (2285078985).

Almost surely, 2^161639059680 is an apocalyptic number.

161639059680 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 161639059680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329051373840).

161639059680 is an abundant number, since it is smaller than the sum of its proper divisors (496463688000).

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

161639059680 is a wasteful number, since it uses less digits than its factorization.

161639059680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763639 (or 763618 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 161639059680 in words is "one hundred sixty-one billion, six hundred thirty-nine million, fifty-nine thousand, six hundred eighty".