162735713000 has 384 divisors, whose sum is σ = 471217668480. Its totient is φ = 52268697600.

The previous prime is 162735712991. The next prime is 162735713029. The reversal of 162735713000 is 317537261.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 289050719 + ... + 289051281.

It is an arithmetic number, because the mean of its divisors is an integer number (1227129345).

Almost surely, 2^162735713000 is an apocalyptic number.

162735713000 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 162735713000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235608834240).

162735713000 is an abundant number, since it is smaller than the sum of its proper divisors (308481955480).

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

162735713000 is a wasteful number, since it uses less digits than its factorization.

162735713000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 35.

The spelling of 162735713000 in words is "one hundred sixty-two billion, seven hundred thirty-five million, seven hundred thirteen thousand".