10277673120 has 768 divisors, whose sum is σ = 42918543360. Its totient is φ = 2264371200.

The previous prime is 10277673053. The next prime is 10277673127. The reversal of 10277673120 is 2137677201.

10277673120 is a `hidden beast` number, since 10 + 277 + 67 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10277673127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78455455 + ... + 78455585.

It is an arithmetic number, because the mean of its divisors is an integer number (55883520).

Almost surely, 2^10277673120 is an apocalyptic number.

10277673120 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 10277673120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21459271680).

10277673120 is an abundant number, since it is smaller than the sum of its proper divisors (32640870240).

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

10277673120 is a wasteful number, since it uses less digits than its factorization.

10277673120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 10277673120 in words is "ten billion, two hundred seventy-seven million, six hundred seventy-three thousand, one hundred twenty".