162551419011072 has 1536 divisors, whose sum is σ = 630955964620800. Its totient is φ = 40610911223808.

The previous prime is 162551419010927. The next prime is 162551419011073. The reversal of 162551419011072 is 270110914155261.

162551419011072 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 51 + 419 + 0 + 110 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is not an unprimeable number, because it can be changed into a prime (162551419011073) 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, 13767370993 + ... + 13767382799.

It is an arithmetic number, because the mean of its divisors is an integer number (410778622800).

Almost surely, 2^{162551419011072} is an apocalyptic number.

162551419011072 is a gapful number since it is divisible by the number (12) 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 162551419011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315477982310400).

162551419011072 is an abundant number, since it is smaller than the sum of its proper divisors (468404545609728).

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

162551419011072 is an equidigital number, since it uses as much as digits as its factorization.

162551419011072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11891 (or 11851 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 162551419011072 in words is "one hundred sixty-two trillion, five hundred fifty-one billion, four hundred nineteen million, eleven thousand, seventy-two".