10416180096 has 640 divisors, whose sum is σ = 37766520000. Its totient is φ = 2844979200.

The previous prime is 10416180053. The next prime is 10416180107. The reversal of 10416180096 is 69008161401.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10416180096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 103130446 + ... + 103130546.

Almost surely, 2^10416180096 is an apocalyptic number.

10416180096 is a gapful number since it is divisible by the number (16) 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 10416180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18883260000).

10416180096 is an abundant number, since it is smaller than the sum of its proper divisors (27350339904).

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

10416180096 is an equidigital number, since it uses as much as digits as its factorization.

10416180096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10416180096 in words is "ten billion, four hundred sixteen million, one hundred eighty thousand, ninety-six".