10949907084480 has 2240 divisors, whose sum is σ = 51804541958400. Its totient is φ = 2174019305472.

The previous prime is 10949907084469. The next prime is 10949907084509. The reversal of 10949907084480 is 8448070994901.

It is a happy number.

10949907084480 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 9 + 9 + 0 + 70 + 84 + 480 = 666.

10949907084480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2240).

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 319 ways as a sum of consecutive naturals, for example, 1964810974 + ... + 1964816546.

It is an arithmetic number, because the mean of its divisors is an integer number (23127027660).

Almost surely, 2^{10949907084480} is an apocalyptic number.

10949907084480 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 10949907084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25902270979200).

10949907084480 is an abundant number, since it is smaller than the sum of its proper divisors (40854634873920).

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

10949907084480 is a wasteful number, since it uses less digits than its factorization.

10949907084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5653 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 10949907084480 in words is "ten trillion, nine hundred forty-nine billion, nine hundred seven million, eighty-four thousand, four hundred eighty".