165542275800 has 960 divisors, whose sum is σ = 648178201440. Its totient is φ = 38817792000.

The previous prime is 165542275771. The next prime is 165542275823. The reversal of 165542275800 is 8572245561.

165542275800 is a `hidden beast` number, since 1 + 6 + 5 + 5 + 42 + 27 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1054409322 + ... + 1054409478.

Almost surely, 2^165542275800 is an apocalyptic number.

165542275800 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 165542275800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324089100720).

165542275800 is an abundant number, since it is smaller than the sum of its proper divisors (482635925640).

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

165542275800 is a wasteful number, since it uses less digits than its factorization.

165542275800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 165542275800 in words is "one hundred sixty-five billion, five hundred forty-two million, two hundred seventy-five thousand, eight hundred".