162002425655772 has 288 divisors, whose sum is σ = 466184811456000. Its totient is φ = 47058698801664.

The previous prime is 162002425655753. The next prime is 162002425655803. The reversal of 162002425655772 is 277556524200261.

162002425655772 is a `hidden beast` number, since 1 + 6 + 2 + 0 + 0 + 2 + 4 + 2 + 5 + 65 + 577 + 2 = 666.

It is a congruent number.

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, 910297854 + ... + 910475802.

It is an arithmetic number, because the mean of its divisors is an integer number (1618697262000).

Almost surely, 2^{162002425655772} is an apocalyptic number.

162002425655772 is a gapful number since it is divisible by the number (12) 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 162002425655772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233092405728000).

162002425655772 is an abundant number, since it is smaller than the sum of its proper divisors (304182385800228).

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

162002425655772 is a wasteful number, since it uses less digits than its factorization.

162002425655772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179097 (or 179092 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 162002425655772 in words is "one hundred sixty-two trillion, two billion, four hundred twenty-five million, six hundred fifty-five thousand, seven hundred seventy-two".