160836157440 has 1088 divisors, whose sum is σ = 679472064000. Its totient is φ = 36068917248.

The previous prime is 160836157367. The next prime is 160836157477. The reversal of 160836157440 is 44751638061.

160836157440 is a `hidden beast` number, since 1 + 6 + 0 + 8 + 36 + 1 + 574 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3034644454 + ... + 3034644506.

Almost surely, 2^160836157440 is an apocalyptic number.

160836157440 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 160836157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339736032000).

160836157440 is an abundant number, since it is smaller than the sum of its proper divisors (518635906560).

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

160836157440 is an frugal number, since it uses more digits than its factorization.

160836157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 160836157440 in words is "one hundred sixty billion, eight hundred thirty-six million, one hundred fifty-seven thousand, four hundred forty".