10270720857600 has 960 divisors, whose sum is σ = 43227508262400. Its totient is φ = 2339777249280.

The previous prime is 10270720857589. The next prime is 10270720857623. The reversal of 10270720857600 is 675802707201.

10270720857600 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 0 + 72 + 0 + 8 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 742687486 + ... + 742701314.

It is an arithmetic number, because the mean of its divisors is an integer number (45028654440).

Almost surely, 2^{10270720857600} is an apocalyptic number.

10270720857600 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 10270720857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21613754131200).

10270720857600 is an abundant number, since it is smaller than the sum of its proper divisors (32956787404800).

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

10270720857600 is a wasteful number, since it uses less digits than its factorization.

10270720857600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14180 (or 14153 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 10270720857600 in words is "ten trillion, two hundred seventy billion, seven hundred twenty million, eight hundred fifty-seven thousand, six hundred".