10056960000 has 600 divisors, whose sum is σ = 37924196310. Its totient is φ = 2654208000.

The previous prime is 10056959999. The next prime is 10056960007. The reversal of 10056960000 is 6965001.

10056960000 is a `hidden beast` number, since 1 + 0 + 0 + 56 + 9 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 69755904 + 9987204096 = 8352^2 + 99936^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×10056960000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10056960007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 103679952 + ... + 103680048.

Almost surely, 2^10056960000 is an apocalyptic number.

10056960000 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 10056960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18962098155).

10056960000 is an abundant number, since it is smaller than the sum of its proper divisors (27867236310).

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

10056960000 is an frugal number, since it uses more digits than its factorization.

10056960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 10056960000 in words is "ten billion, fifty-six million, nine hundred sixty thousand".