10835378979840 has 264 divisors, whose sum is σ = 37830924825408. Its totient is φ = 2867376046080.

The previous prime is 10835378979811. The next prime is 10835378979913. The reversal of 10835378979840 is 4897987353801.

10835378979840 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 537 + 8 + 9 + 7 + 9 + 84 + 0 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 5138989 + ... + 6933971.

It is an arithmetic number, because the mean of its divisors is an integer number (143298957672).

Almost surely, 2^{10835378979840} is an apocalyptic number.

10835378979840 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 10835378979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18915462412704).

10835378979840 is an abundant number, since it is smaller than the sum of its proper divisors (26995545845568).

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

10835378979840 is a wasteful number, since it uses less digits than its factorization.

10835378979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795145 (or 1795124 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 10835378979840 in words is "ten trillion, eight hundred thirty-five billion, three hundred seventy-eight million, nine hundred seventy-nine thousand, eight hundred forty".