10286060400 has 1800 divisors, whose sum is σ = 50903170560. Its totient is φ = 1959552000.

The previous prime is 10286060377. The next prime is 10286060423. The reversal of 10286060400 is 406068201.

10286060400 is a `hidden beast` number, since 10 + 2 + 8 + 606 + 0 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10286060377) and next prime (10286060423).

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 331808385 + ... + 331808415.

Almost surely, 2^10286060400 is an apocalyptic number.

10286060400 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 10286060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25451585280).

10286060400 is an abundant number, since it is smaller than the sum of its proper divisors (40617110160).

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

10286060400 is a wasteful number, since it uses less digits than its factorization.

10286060400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10286060400 in words is "ten billion, two hundred eighty-six million, sixty thousand, four hundred".