10060746328800 has 720 divisors, whose sum is σ = 38880766940400. Its totient is φ = 2527154380800.

The previous prime is 10060746328799. The next prime is 10060746328811. The reversal of 10060746328800 is 882364706001.

10060746328800 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 0 + 7 + 4 + 632 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 76981911 + ... + 77112489.

It is an arithmetic number, because the mean of its divisors is an integer number (54001065195).

Almost surely, 2^{10060746328800} is an apocalyptic number.

10060746328800 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 10060746328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19440383470200).

10060746328800 is an abundant number, since it is smaller than the sum of its proper divisors (28820020611600).

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

10060746328800 is a wasteful number, since it uses less digits than its factorization.

10060746328800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130681 (or 130659 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10060746328800 in words is "ten trillion, sixty billion, seven hundred forty-six million, three hundred twenty-eight thousand, eight hundred".