10935019916480 has 224 divisors, whose sum is σ = 28754561459520. Its totient is φ = 3927697326080.

The previous prime is 10935019916461. The next prime is 10935019916549. The reversal of 10935019916480 is 8461991053901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317335412 + ... + 317369868.

Almost surely, 2^{10935019916480} is an apocalyptic number.

10935019916480 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 10935019916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14377280729760).

10935019916480 is an abundant number, since it is smaller than the sum of its proper divisors (17819541543040).

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

10935019916480 is a wasteful number, since it uses less digits than its factorization.

10935019916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35587 (or 35577 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 56.

The spelling of 10935019916480 in words is "ten trillion, nine hundred thirty-five billion, nineteen million, nine hundred sixteen thousand, four hundred eighty".