162407001120 has 1152 divisors, whose sum is σ = 671961733632. Its totient is φ = 32089374720.

The previous prime is 162407001101. The next prime is 162407001167. The reversal of 162407001120 is 21100704261.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2224753404 + ... + 2224753476.

It is an arithmetic number, because the mean of its divisors is an integer number (583300116).

Almost surely, 2^162407001120 is an apocalyptic number.

162407001120 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 162407001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335980866816).

162407001120 is an abundant number, since it is smaller than the sum of its proper divisors (509554732512).

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

162407001120 is a wasteful number, since it uses less digits than its factorization.

162407001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 162407001120 its reverse (21100704261), we get a palindrome (183507705381).

The spelling of 162407001120 in words is "one hundred sixty-two billion, four hundred seven million, one thousand, one hundred twenty".