162407600426880 has 3072 divisors, whose sum is σ = 658680422400000. Its totient is φ = 36640173588480.

The previous prime is 162407600426839. The next prime is 162407600426891. The reversal of 162407600426880 is 88624006704261.

It is a happy number.

162407600426880 is a `hidden beast` number, since 1 + 6 + 2 + 4 + 0 + 7 + 600 + 4 + 26 + 8 + 8 + 0 = 666.

162407600426880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×162407600426880² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 325466132871 + ... + 325466133369.

It is an arithmetic number, because the mean of its divisors is an integer number (214414200000).

Almost surely, 2^{162407600426880} is an apocalyptic number.

162407600426880 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 162407600426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329340211200000).

162407600426880 is an abundant number, since it is smaller than the sum of its proper divisors (496272821973120).

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

162407600426880 is a wasteful number, since it uses less digits than its factorization.

162407600426880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 162407600426880 in words is "one hundred sixty-two trillion, four hundred seven billion, six hundred million, four hundred twenty-six thousand, eight hundred eighty".