101573820742680 has 512 divisors, whose sum is σ = 398010945024000. Its totient is φ = 22716129576960.

The previous prime is 101573820742579. The next prime is 101573820742717. The reversal of 101573820742680 is 86247028375101.

101573820742680 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 7 + 3 + 8 + 207 + 426 + 8 + 0 = 666.

101573820742680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 257563329 + ... + 257957391.

It is an arithmetic number, because the mean of its divisors is an integer number (777365127000).

Almost surely, 2^{101573820742680} is an apocalyptic number.

101573820742680 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 101573820742680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199005472512000).

101573820742680 is an abundant number, since it is smaller than the sum of its proper divisors (296437124281320).

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

101573820742680 is a wasteful number, since it uses less digits than its factorization.

101573820742680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395776 (or 395766 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 101573820742680 in words is "one hundred one trillion, five hundred seventy-three billion, eight hundred twenty million, seven hundred forty-two thousand, six hundred eighty".