11278999781280 has 1152 divisors, whose sum is σ = 49848546908160. Its totient is φ = 2339722506240.

The previous prime is 11278999781249. The next prime is 11278999781369. The reversal of 11278999781280 is 8218799987211.

11278999781280 is a `hidden beast` number, since 1 + 1 + 278 + 9 + 9 + 9 + 78 + 1 + 280 = 666.

It is a super-2 number, since 2×11278999781280² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 11278999781199 and 11278999781208.

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 191 ways as a sum of consecutive naturals, for example, 1972884982 + ... + 1972890698.

It is an arithmetic number, because the mean of its divisors is an integer number (43271308080).

Almost surely, 2^{11278999781280} is an apocalyptic number.

11278999781280 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 11278999781280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24924273454080).

11278999781280 is an abundant number, since it is smaller than the sum of its proper divisors (38569547126880).

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

11278999781280 is a wasteful number, since it uses less digits than its factorization.

11278999781280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424 (or 6404 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 72.

The spelling of 11278999781280 in words is "eleven trillion, two hundred seventy-eight billion, nine hundred ninety-nine million, seven hundred eighty-one thousand, two hundred eighty".