162541680840 has 576 divisors, whose sum is σ = 686755480320. Its totient is φ = 32949504000.

The previous prime is 162541680839. The next prime is 162541680853. The reversal of 162541680840 is 48086145261.

It is a happy number.

162541680840 is a `hidden beast` number, since 1 + 6 + 2 + 541 + 68 + 0 + 8 + 40 = 666.

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 143 ways as a sum of consecutive naturals, for example, 7945425 + ... + 7965855.

It is an arithmetic number, because the mean of its divisors is an integer number (1192283820).

Almost surely, 2^162541680840 is an apocalyptic number.

162541680840 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 162541680840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343377740160).

162541680840 is an abundant number, since it is smaller than the sum of its proper divisors (524213799480).

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

162541680840 is a wasteful number, since it uses less digits than its factorization.

162541680840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20514 (or 20500 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 162541680840 in words is "one hundred sixty-two billion, five hundred forty-one million, six hundred eighty thousand, eight hundred forty".