165532631040 has 1152 divisors, whose sum is σ = 699284664000. Its totient is φ = 36068917248.

The previous prime is 165532631039. The next prime is 165532631113. The reversal of 165532631040 is 40136235561.

165532631040 is a `hidden beast` number, since 1 + 6 + 553 + 2 + 63 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 165532630986 and 165532631004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2095349721 + ... + 2095349799.

Almost surely, 2^165532631040 is an apocalyptic number.

165532631040 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 165532631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349642332000).

165532631040 is an abundant number, since it is smaller than the sum of its proper divisors (533752032960).

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

165532631040 is an equidigital number, since it uses as much as digits as its factorization.

165532631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

It can be divided in two parts, 1655326 and 31040, that added together give a triangular number (1686366 = T₁₈₃₆).

The spelling of 165532631040 in words is "one hundred sixty-five billion, five hundred thirty-two million, six hundred thirty-one thousand, forty".