10061366400 has 672 divisors, whose sum is σ = 39399152400. Its totient is φ = 2530621440.

The previous prime is 10061366333. The next prime is 10061366423. The reversal of 10061366400 is 466316001.

10061366400 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 13 + 6 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 44323087 + ... + 44323313.

Almost surely, 2^10061366400 is an apocalyptic number.

10061366400 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 10061366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19699576200).

10061366400 is an abundant number, since it is smaller than the sum of its proper divisors (29337786000).

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

10061366400 is an equidigital number, since it uses as much as digits as its factorization.

10061366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 10061366400 in words is "ten billion, sixty-one million, three hundred sixty-six thousand, four hundred".