165537199800 has 864 divisors, whose sum is σ = 700425370800. Its totient is φ = 35824965120.

The previous prime is 165537199777. The next prime is 165537199823. The reversal of 165537199800 is 8991735561.

165537199800 is a `hidden beast` number, since 1 + 6 + 5 + 537 + 19 + 98 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (165537199777) and next prime (165537199823).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 95519734 + ... + 95521466.

Almost surely, 2^165537199800 is an apocalyptic number.

165537199800 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 165537199800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350212685400).

165537199800 is an abundant number, since it is smaller than the sum of its proper divisors (534888171000).

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

165537199800 is a wasteful number, since it uses less digits than its factorization.

165537199800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 165537199800 in words is "one hundred sixty-five billion, five hundred thirty-seven million, one hundred ninety-nine thousand, eight hundred".