10355575488064 has 63 divisors (see below), whose sum is σ = 21064920196593. Its totient is φ = 5050985356800.

The previous prime is 10355575488059. The next prime is 10355575488073. The reversal of 10355575488064 is 46088457555301.

The square root of 10355575488064 is 3218008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 498989657664 + 9856585830400 = 706392^2 + 3139520^2 .

It is a super-3 number, since 3×10355575488064³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10355575487993 and 10355575488011.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1055501719 + ... + 1055511529.

Almost surely, 2^{10355575488064} is an apocalyptic number.

10355575488064 is the 3218008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10355575488064

10355575488064 is an abundant number, since it is smaller than the sum of its proper divisors (10709344708529).

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

10355575488064 is an frugal number, since it uses more digits than its factorization.

10355575488064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19716 (or 9854 counting only the distinct ones).

The product of its (nonzero) digits is 80640000, while the sum is 61.

The spelling of 10355575488064 in words is "ten trillion, three hundred fifty-five billion, five hundred seventy-five million, four hundred eighty-eight thousand, sixty-four".