161290542778560 has 672 divisors, whose sum is σ = 640272408048000. Its totient is φ = 36949712633856.

The previous prime is 161290542778531. The next prime is 161290542778613. The reversal of 161290542778560 is 65877245092161.

It is a happy number.

161290542778560 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 9 + 0 + 542 + 7 + 7 + 85 + 6 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29330316 + ... + 34392564.

It is an arithmetic number, because the mean of its divisors is an integer number (952786321500).

Almost surely, 2^{161290542778560} is an apocalyptic number.

161290542778560 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 161290542778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320136204024000).

161290542778560 is an abundant number, since it is smaller than the sum of its proper divisors (478981865269440).

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

161290542778560 is a wasteful number, since it uses less digits than its factorization.

161290542778560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5062345 (or 5062332 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 161290542778560 in words is "one hundred sixty-one trillion, two hundred ninety billion, five hundred forty-two million, seven hundred seventy-eight thousand, five hundred sixty".