10949336798400 has 2016 divisors, whose sum is σ = 55326421882368. Its totient is φ = 1976588697600.

The previous prime is 10949336798359. The next prime is 10949336798419. The reversal of 10949336798400 is 489763394901.

10949336798400 is a `hidden beast` number, since 1 + 0 + 9 + 493 + 3 + 67 + 9 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 287 ways as a sum of consecutive naturals, for example, 245022459 + ... + 245067141.

It is an arithmetic number, because the mean of its divisors is an integer number (27443661648).

Almost surely, 2^{10949336798400} is an apocalyptic number.

10949336798400 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 10949336798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27663210941184).

10949336798400 is an abundant number, since it is smaller than the sum of its proper divisors (44377085083968).

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

10949336798400 is a wasteful number, since it uses less digits than its factorization.

10949336798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44759 (or 44741 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 10949336798400 in words is "ten trillion, nine hundred forty-nine billion, three hundred thirty-six million, seven hundred ninety-eight thousand, four hundred".