101572760780480 has 448 divisors, whose sum is σ = 288122026752000. Its totient is φ = 33705920102400.

The previous prime is 101572760780411. The next prime is 101572760780497. The reversal of 101572760780480 is 84087067275101.

101572760780480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 216389876 + ... + 216858764.

It is an arithmetic number, because the mean of its divisors is an integer number (643129524000).

Almost surely, 2^{101572760780480} is an apocalyptic number.

101572760780480 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 101572760780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144061013376000).

101572760780480 is an abundant number, since it is smaller than the sum of its proper divisors (186549265971520).

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

101572760780480 is a wasteful number, since it uses less digits than its factorization.

101572760780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469056 (or 469046 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 56.

The spelling of 101572760780480 in words is "one hundred one trillion, five hundred seventy-two billion, seven hundred sixty million, seven hundred eighty thousand, four hundred eighty".