162897290400 has 576 divisors, whose sum is σ = 603816353280. Its totient is φ = 37814169600.

The previous prime is 162897290383. The next prime is 162897290407. The reversal of 162897290400 is 4092798261.

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 162897290400.

It is not an unprimeable number, because it can be changed into a prime (162897290407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167761915 + ... + 167762885.

It is an arithmetic number, because the mean of its divisors is an integer number (1048292280).

Almost surely, 2^162897290400 is an apocalyptic number.

162897290400 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 162897290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301908176640).

162897290400 is an abundant number, since it is smaller than the sum of its proper divisors (440919062880).

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

162897290400 is a wasteful number, since it uses less digits than its factorization.

162897290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 162897290400 in words is "one hundred sixty-two billion, eight hundred ninety-seven million, two hundred ninety thousand, four hundred".