161540660736000 has 7488 divisors, whose sum is σ = 804199742201856. Its totient is φ = 30321672192000.

The previous prime is 161540660735977. The next prime is 161540660736019. The reversal of 161540660736000 is 637066045161.

161540660736000 is a `hidden beast` number, since 1 + 6 + 1 + 5 + 4 + 0 + 6 + 607 + 36 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7488).

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3756759551979 + ... + 3756759552021.

Almost surely, 2^{161540660736000} is an apocalyptic number.

161540660736000 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 161540660736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402099871100928).

161540660736000 is an abundant number, since it is smaller than the sum of its proper divisors (642659081465856).

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

161540660736000 is a wasteful number, since it uses less digits than its factorization.

161540660736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 161540660736000 in words is "one hundred sixty-one trillion, five hundred forty billion, six hundred sixty million, seven hundred thirty-six thousand".