162353150400 has 672 divisors, whose sum is σ = 641409740800. Its totient is φ = 35900928000.

The previous prime is 162353150381. The next prime is 162353150419. The reversal of 162353150400 is 4051353261.

It is an interprime number because it is at equal distance from previous prime (162353150381) and next prime (162353150419).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 51036810 + ... + 51039990.

Almost surely, 2^162353150400 is an apocalyptic number.

162353150400 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 162353150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320704870400).

162353150400 is an abundant number, since it is smaller than the sum of its proper divisors (479056590400).

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

162353150400 is a wasteful number, since it uses less digits than its factorization.

162353150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 162353150400 in words is "one hundred sixty-two billion, three hundred fifty-three million, one hundred fifty thousand, four hundred".