10165098240 has 432 divisors, whose sum is σ = 39801879936. Its totient is φ = 2463436800.

The previous prime is 10165098227. The next prime is 10165098253. The reversal of 10165098240 is 4289056101.

10165098240 is a `hidden beast` number, since 101 + 6 + 509 + 8 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (10165098227) and next prime (10165098253).

It is a tau number, because it is divible by the number of its divisors (432).

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 = 10165098195 and 10165098204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3419955 + ... + 3422925.

Almost surely, 2^10165098240 is an apocalyptic number.

10165098240 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 10165098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19900939968).

10165098240 is an abundant number, since it is smaller than the sum of its proper divisors (29636781696).

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

10165098240 is an equidigital number, since it uses as much as digits as its factorization.

10165098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10165098240 in words is "ten billion, one hundred sixty-five million, ninety-eight thousand, two hundred forty".