101579543216640 has 320 divisors, whose sum is σ = 360849547365120. Its totient is φ = 27085585121280.

The previous prime is 101579543216551. The next prime is 101579543216699. The reversal of 101579543216640 is 46612345975101.

101579543216640 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 7 + 9 + 5 + 432 + 166 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 913503445 + ... + 913614635.

It is an arithmetic number, because the mean of its divisors is an integer number (1127654835516).

Almost surely, 2^{101579543216640} is an apocalyptic number.

101579543216640 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 101579543216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180424773682560).

101579543216640 is an abundant number, since it is smaller than the sum of its proper divisors (259270004148480).

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

101579543216640 is a wasteful number, since it uses less digits than its factorization.

101579543216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124440 (or 124418 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 101579543216640 in words is "one hundred one trillion, five hundred seventy-nine billion, five hundred forty-three million, two hundred sixteen thousand, six hundred forty".