161058155328000 has 1600 divisors, whose sum is σ = 701590509404928. Its totient is φ = 35956821196800.

The previous prime is 161058155327981. The next prime is 161058155328061. The reversal of 161058155328000 is 823551850161.

161058155328000 is a `hidden beast` number, since 1 + 6 + 10 + 5 + 8 + 1 + 553 + 2 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1560332392 + ... + 1560435608.

Almost surely, 2^{161058155328000} is an apocalyptic number.

161058155328000 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 161058155328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350795254702464).

161058155328000 is an abundant number, since it is smaller than the sum of its proper divisors (540532354076928).

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

161058155328000 is an equidigital number, since it uses as much as digits as its factorization.

161058155328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103312 (or 103277 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 161058155328000 in words is "one hundred sixty-one trillion, fifty-eight billion, one hundred fifty-five million, three hundred twenty-eight thousand".