162153411840 has 864 divisors, whose sum is σ = 681935304960. Its totient is φ = 35740680192.

The previous prime is 162153411839. The next prime is 162153411887. The reversal of 162153411840 is 48114351261.

162153411840 is a `hidden beast` number, since 1 + 6 + 2 + 1 + 534 + 118 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 162153411795 and 162153411804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203454322 + ... + 203455118.

Almost surely, 2^162153411840 is an apocalyptic number.

162153411840 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 162153411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340967652480).

162153411840 is an abundant number, since it is smaller than the sum of its proper divisors (519781893120).

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

162153411840 is an equidigital number, since it uses as much as digits as its factorization.

162153411840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 162153411840 in words is "one hundred sixty-two billion, one hundred fifty-three million, four hundred eleven thousand, eight hundred forty".