101208578664960 has 640 divisors, whose sum is σ = 399644241131520. Its totient is φ = 24109232947200.

The previous prime is 101208578664887. The next prime is 101208578665111. The reversal of 101208578664960 is 69466875802101.

101208578664960 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 0 + 85 + 7 + 8 + 66 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26038680 + ... + 29672040.

It is an arithmetic number, because the mean of its divisors is an integer number (624444126768).

Almost surely, 2^{101208578664960} is an apocalyptic number.

101208578664960 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 101208578664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199822120565760).

101208578664960 is an abundant number, since it is smaller than the sum of its proper divisors (298435662466560).

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

101208578664960 is a wasteful number, since it uses less digits than its factorization.

101208578664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633437 (or 3633415 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 101208578664960 in words is "one hundred one trillion, two hundred eight billion, five hundred seventy-eight million, six hundred sixty-four thousand, nine hundred sixty".