161025007135776 has 576 divisors, whose sum is σ = 509694474240000. Its totient is φ = 44336388096000.

The previous prime is 161025007135757. The next prime is 161025007135789. The reversal of 161025007135776 is 677531700520161.

161025007135776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 60286410921 + ... + 60286413591.

It is an arithmetic number, because the mean of its divisors is an integer number (884886240000).

Almost surely, 2^{161025007135776} is an apocalyptic number.

161025007135776 is a gapful number since it is divisible by the number (16) 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 161025007135776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254847237120000).

161025007135776 is an abundant number, since it is smaller than the sum of its proper divisors (348669467104224).

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

161025007135776 is a wasteful number, since it uses less digits than its factorization.

161025007135776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4309 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 51.

The spelling of 161025007135776 in words is "one hundred sixty-one trillion, twenty-five billion, seven million, one hundred thirty-five thousand, seven hundred seventy-six".