10846866782400 has 1344 divisors, whose sum is σ = 42276864107520. Its totient is φ = 2404843520000.

The previous prime is 10846866782387. The next prime is 10846866782483. The reversal of 10846866782400 is 428766864801.

It is a happy number.

10846866782400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13211773990 + ... + 13211774810.

It is an arithmetic number, because the mean of its divisors is an integer number (31456000080).

Almost surely, 2^{10846866782400} is an apocalyptic number.

10846866782400 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 10846866782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21138432053760).

10846866782400 is an abundant number, since it is smaller than the sum of its proper divisors (31429997325120).

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

10846866782400 is a wasteful number, since it uses less digits than its factorization.

10846866782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 60.

The spelling of 10846866782400 in words is "ten trillion, eight hundred forty-six billion, eight hundred sixty-six million, seven hundred eighty-two thousand, four hundred".