161919959040 has 1152 divisors, whose sum is σ = 685298970720. Its totient is φ = 36564369408.

The previous prime is 161919959023. The next prime is 161919959057. The reversal of 161919959040 is 40959919161.

It is a happy number.

161919959040 is a `hidden beast` number, since 1 + 6 + 1 + 9 + 1 + 9 + 9 + 590 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (161919959023) and next prime (161919959057).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1950842839 + ... + 1950842921.

Almost surely, 2^161919959040 is an apocalyptic number.

161919959040 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 161919959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342649485360).

161919959040 is an abundant number, since it is smaller than the sum of its proper divisors (523379011680).

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

161919959040 is an frugal number, since it uses more digits than its factorization.

161919959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 54.

The spelling of 161919959040 in words is "one hundred sixty-one billion, nine hundred nineteen million, nine hundred fifty-nine thousand, forty".