165258180072 has 128 divisors (see below), whose sum is σ = 507186489600. Its totient is φ = 49591517184.

The previous prime is 165258180053. The next prime is 165258180091. The reversal of 165258180072 is 270081852561.

165258180072 is a `hidden beast` number, since 1 + 65 + 2 + 581 + 8 + 0 + 0 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (165258180053) and next prime (165258180091).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 893913 + ... + 1062824.

It is an arithmetic number, because the mean of its divisors is an integer number (3962394450).

Almost surely, 2^165258180072 is an apocalyptic number.

165258180072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

165258180072 is an abundant number, since it is smaller than the sum of its proper divisors (341928309528).

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

165258180072 is a wasteful number, since it uses less digits than its factorization.

165258180072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956792 (or 1956782 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 165258180072 in words is "one hundred sixty-five billion, two hundred fifty-eight million, one hundred eighty thousand, seventy-two".