162275361830400 has 2880 divisors, whose sum is σ = 685265886176256. Its totient is φ = 33124515840000.

The previous prime is 162275361830369. The next prime is 162275361830431. The reversal of 162275361830400 is 4038163572261.

It is an interprime number because it is at equal distance from previous prime (162275361830369) and next prime (162275361830431).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 162275361830400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 281239794912 + ... + 281239795488.

Almost surely, 2^{162275361830400} is an apocalyptic number.

162275361830400 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 162275361830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342632943088128).

162275361830400 is an abundant number, since it is smaller than the sum of its proper divisors (522990524345856).

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

162275361830400 is a wasteful number, since it uses less digits than its factorization.

162275361830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 162275361830400 in words is "one hundred sixty-two trillion, two hundred seventy-five billion, three hundred sixty-one million, eight hundred thirty thousand, four hundred".