162157248000 has 1280 divisors, whose sum is σ = 689420160000. Its totient is φ = 37158912000.

The previous prime is 162157247969. The next prime is 162157248037. The reversal of 162157248000 is 842751261.

162157248000 is a `hidden beast` number, since 1 + 6 + 2 + 1 + 572 + 4 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 361151776 + ... + 361152224.

It is an arithmetic number, because the mean of its divisors is an integer number (538609500).

Almost surely, 2^162157248000 is an apocalyptic number.

162157248000 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 162157248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344710080000).

162157248000 is an abundant number, since it is smaller than the sum of its proper divisors (527262912000).

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

162157248000 is a wasteful number, since it uses less digits than its factorization.

162157248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 162157248000 its reverse (842751261), we get a palindrome (162999999261).

The spelling of 162157248000 in words is "one hundred sixty-two billion, one hundred fifty-seven million, two hundred forty-eight thousand".