10207057328160 has 384 divisors, whose sum is σ = 41063608793088. Its totient is φ = 2069216256000.

The previous prime is 10207057328137. The next prime is 10207057328173. The reversal of 10207057328160 is 6182375070201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1852506 + ... + 4883225.

It is an arithmetic number, because the mean of its divisors is an integer number (106936481232).

Almost surely, 2^{10207057328160} is an apocalyptic number.

10207057328160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10207057328160 is an abundant number, since it is smaller than the sum of its proper divisors (30856551464928).

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

10207057328160 is a wasteful number, since it uses less digits than its factorization.

10207057328160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6735808 (or 6735800 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 10207057328160 in words is "ten trillion, two hundred seven billion, fifty-seven million, three hundred twenty-eight thousand, one hundred sixty".