10938121286400 has 3888 divisors, whose sum is σ = 53876026713600. Its totient is φ = 2128409395200.

The previous prime is 10938121286311. The next prime is 10938121286419. The reversal of 10938121286400 is 468212183901.

10938121286400 is a `hidden beast` number, since 1 + 0 + 93 + 81 + 2 + 1 + 2 + 86 + 400 = 666.

10938121286400 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 (3888).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 54965433501 + ... + 54965433699.

Almost surely, 2^{10938121286400} is an apocalyptic number.

10938121286400 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 10938121286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26938013356800).

10938121286400 is an abundant number, since it is smaller than the sum of its proper divisors (42937905427200).

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

10938121286400 is an equidigital number, since it uses as much as digits as its factorization.

10938121286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 10938121286400 in words is "ten trillion, nine hundred thirty-eight billion, one hundred twenty-one million, two hundred eighty-six thousand, four hundred".