10699840378800 has 600 divisors, whose sum is σ = 38799434757600. Its totient is φ = 2823740559360.

The previous prime is 10699840378771. The next prime is 10699840378817. The reversal of 10699840378800 is 887304899601.

10699840378800 is a `hidden beast` number, since 1 + 0 + 69 + 98 + 40 + 378 + 80 + 0 = 666.

10699840378800 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 (600).

It is a super-2 number, since 2×10699840378800² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4658179252 + ... + 4658181548.

It is an arithmetic number, because the mean of its divisors is an integer number (64665724596).

Almost surely, 2^{10699840378800} is an apocalyptic number.

10699840378800 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 10699840378800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19399717378800).

10699840378800 is an abundant number, since it is smaller than the sum of its proper divisors (28099594378800).

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

10699840378800 is a wasteful number, since it uses less digits than its factorization.

10699840378800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3755 (or 3735 counting only the distinct ones).

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

The spelling of 10699840378800 in words is "ten trillion, six hundred ninety-nine billion, eight hundred forty million, three hundred seventy-eight thousand, eight hundred".