161058051000 has 2560 divisors, whose sum is σ = 782825472000. Its totient is φ = 30481920000.

The previous prime is 161058050999. The next prime is 161058051019. The reversal of 161058051000 is 150850161.

It is a super-3 number, since 3×161058051000³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 5195420985 + ... + 5195421015.

It is an arithmetic number, because the mean of its divisors is an integer number (305791200).

Almost surely, 2^161058051000 is an apocalyptic number.

161058051000 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 161058051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391412736000).

161058051000 is an abundant number, since it is smaller than the sum of its proper divisors (621767421000).

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

161058051000 is a wasteful number, since it uses less digits than its factorization.

161058051000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 161058051000 in words is "one hundred sixty-one billion, fifty-eight million, fifty-one thousand".