1102501916160 has 640 divisors, whose sum is σ = 3929954181120. Its totient is φ = 262387040256.

The previous prime is 1102501916149. The next prime is 1102501916207. The reversal of 1102501916160 is 616191052011.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-4 number, since 4×1102501916160⁴ (a number of 49 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224860269 + ... + 224865171.

It is an arithmetic number, because the mean of its divisors is an integer number (6140553408).

Almost surely, 2^{1102501916160} is an apocalyptic number.

1102501916160 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 1102501916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964977090560).

1102501916160 is an abundant number, since it is smaller than the sum of its proper divisors (2827452264960).

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

1102501916160 is a wasteful number, since it uses less digits than its factorization.

1102501916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5022 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 33.

Adding to 1102501916160 its reverse (616191052011), we get a palindrome (1718692968171).

The spelling of 1102501916160 in words is "one trillion, one hundred two billion, five hundred one million, nine hundred sixteen thousand, one hundred sixty".