162125196800 has 480 divisors, whose sum is σ = 483117364224. Its totient is φ = 52715520000.

The previous prime is 162125196791. The next prime is 162125196803. The reversal of 162125196800 is 8691521261.

It is a super-3 number, since 3×162125196800³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162125196803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311180540 + ... + 311181060.

Almost surely, 2^162125196800 is an apocalyptic number.

162125196800 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 162125196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241558682112).

162125196800 is an abundant number, since it is smaller than the sum of its proper divisors (320992167424).

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

162125196800 is a wasteful number, since it uses less digits than its factorization.

162125196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 41.

The spelling of 162125196800 in words is "one hundred sixty-two billion, one hundred twenty-five million, one hundred ninety-six thousand, eight hundred".