10880919786240 has 1728 divisors, whose sum is σ = 46380171801600. Its totient is φ = 2389726789632.

The previous prime is 10880919786199. The next prime is 10880919786251. The reversal of 10880919786240 is 4268791908801.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24561895459 + ... + 24561895901.

It is an arithmetic number, because the mean of its divisors is an integer number (26840377200).

Almost surely, 2^{10880919786240} is an apocalyptic number.

10880919786240 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 10880919786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23190085900800).

10880919786240 is an abundant number, since it is smaller than the sum of its proper divisors (35499252015360).

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

10880919786240 is an equidigital number, since it uses as much as digits as its factorization.

10880919786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 10880919786240 in words is "ten trillion, eight hundred eighty billion, nine hundred nineteen million, seven hundred eighty-six thousand, two hundred forty".