10277729280000 has 4480 divisors, whose sum is σ = 50443492915200. Its totient is φ = 2006581248000.

The previous prime is 10277729279927. The next prime is 10277729280001. The reversal of 10277729280000 is 8292777201.

10277729280000 is a `hidden beast` number, since 10 + 277 + 7 + 292 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

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

It is not an unprimeable number, because it can be changed into a prime (10277729280001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 239016959979 + ... + 239016960021.

It is an arithmetic number, because the mean of its divisors is an integer number (11259708240).

Almost surely, 2^{10277729280000} is an apocalyptic number.

10277729280000 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 10277729280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25221746457600).

10277729280000 is an abundant number, since it is smaller than the sum of its proper divisors (40165763635200).

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

10277729280000 is an equidigital number, since it uses as much as digits as its factorization.

10277729280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 10277729280000 in words is "ten trillion, two hundred seventy-seven billion, seven hundred twenty-nine million, two hundred eighty thousand".