162038125868280 has 1024 divisors, whose sum is σ = 558394518528000. Its totient is φ = 37369422544896.

The previous prime is 162038125868251. The next prime is 162038125868303. The reversal of 162038125868280 is 82868521830261.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 61917509532 + ... + 61917512148.

It is an arithmetic number, because the mean of its divisors is an integer number (545307147000).

Almost surely, 2^{162038125868280} is an apocalyptic number.

162038125868280 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 162038125868280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279197259264000).

162038125868280 is an abundant number, since it is smaller than the sum of its proper divisors (396356392659720).

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

162038125868280 is a wasteful number, since it uses less digits than its factorization.

162038125868280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 60.

The spelling of 162038125868280 in words is "one hundred sixty-two trillion, thirty-eight billion, one hundred twenty-five million, eight hundred sixty-eight thousand, two hundred eighty".