10486886400 has 312 divisors, whose sum is σ = 38535050960. Its totient is φ = 2795765760.

The previous prime is 10486886323. The next prime is 10486886437. The reversal of 10486886400 is 468868401.

10486886400 is a `hidden beast` number, since 104 + 8 + 68 + 86 + 400 = 666.

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 23 ways as a sum of consecutive naturals, for example, 2762904 + ... + 2766696.

Almost surely, 2^10486886400 is an apocalyptic number.

10486886400 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 10486886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19267525480).

10486886400 is an abundant number, since it is smaller than the sum of its proper divisors (28048164560).

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

10486886400 is an equidigital number, since it uses as much as digits as its factorization.

10486886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 10486886400 in words is "ten billion, four hundred eighty-six million, eight hundred eighty-six thousand, four hundred".