162725512151200 has 72 divisors (see below), whose sum is σ = 397775673344700. Its totient is φ = 65004672153600.

The previous prime is 162725512151161. The next prime is 162725512151227. The reversal of 162725512151200 is 2151215527261.

It can be written as a sum of positive squares in 6 ways, for example, as 817498072336 + 161908014078864 = 904156^2 + 12724308^2 .

It is a super-2 number, since 2×162725512151200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133035675 + ... + 134253274.

Almost surely, 2^{162725512151200} is an apocalyptic number.

162725512151200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

162725512151200 is an abundant number, since it is smaller than the sum of its proper divisors (235050161193500).

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

162725512151200 is a wasteful number, since it uses less digits than its factorization.

162725512151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267289730 (or 267289717 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 40.

Adding to 162725512151200 its reverse (2151215527261), we get a palindrome (164876727678461).

The spelling of 162725512151200 in words is "one hundred sixty-two trillion, seven hundred twenty-five billion, five hundred twelve million, one hundred fifty-one thousand, two hundred".