162919995900480 has 6720 divisors, whose sum is σ = 784038600576000. Its totient is φ = 31772207480832.

The previous prime is 162919995900461. The next prime is 162919995900521. The reversal of 162919995900480 is 84009599919261.

162919995900480 is a `hidden beast` number, since 1 + 6 + 2 + 9 + 1 + 9 + 99 + 59 + 0 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 162919995900399 and 162919995900408.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 2062278429081 + ... + 2062278429159.

It is an arithmetic number, because the mean of its divisors is an integer number (116672410800).

Almost surely, 2^{162919995900480} is an apocalyptic number.

162919995900480 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 162919995900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392019300288000).

162919995900480 is an abundant number, since it is smaller than the sum of its proper divisors (621118604675520).

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

162919995900480 is a wasteful number, since it uses less digits than its factorization.

162919995900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 113374080, while the sum is 72.

The spelling of 162919995900480 in words is "one hundred sixty-two trillion, nine hundred nineteen billion, nine hundred ninety-five million, nine hundred thousand, four hundred eighty".