100270144585728 has 768 divisors, whose sum is σ = 325175602053120. Its totient is φ = 29563630387200.

The previous prime is 100270144585691. The next prime is 100270144585763. The reversal of 100270144585728 is 827585441072001.

100270144585728 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 7 + 0 + 14 + 4 + 58 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 47 ways as a sum of consecutive naturals, for example, 12241498113 + ... + 12241506303.

It is an arithmetic number, because the mean of its divisors is an integer number (423405731840).

Almost surely, 2^{100270144585728} is an apocalyptic number.

100270144585728 is a gapful number since it is divisible by the number (18) 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 100270144585728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162587801026560).

100270144585728 is an abundant number, since it is smaller than the sum of its proper divisors (224905457467392).

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

100270144585728 is a wasteful number, since it uses less digits than its factorization.

100270144585728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8374 (or 8343 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 100270144585728 in words is "one hundred trillion, two hundred seventy billion, one hundred forty-four million, five hundred eighty-five thousand, seven hundred twenty-eight".