10056312000 has 672 divisors, whose sum is σ = 42692482560. Its totient is φ = 2295475200.

The previous prime is 10056311999. The next prime is 10056312017. The reversal of 10056312000 is 21365001.

10056312000 is a `hidden beast` number, since 10 + 0 + 5 + 631 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×10056312000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13607631 + ... + 13608369.

It is an arithmetic number, because the mean of its divisors is an integer number (63530480).

Almost surely, 2^10056312000 is an apocalyptic number.

10056312000 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 10056312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21346241280).

10056312000 is an abundant number, since it is smaller than the sum of its proper divisors (32636170560).

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

10056312000 is an frugal number, since it uses more digits than its factorization.

10056312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 10056312000 its reverse (21365001), we get a palindrome (10077677001).

The spelling of 10056312000 in words is "ten billion, fifty-six million, three hundred twelve thousand".