10577355360000 has 1080 divisors, whose sum is σ = 41643741049680. Its totient is φ = 2366791680000.

The previous prime is 10577355359981. The next prime is 10577355360007. The reversal of 10577355360000 is 6355377501.

It is a super-2 number, since 2×10577355360000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10577355360007) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 755032996 + ... + 755047004.

Almost surely, 2^{10577355360000} is an apocalyptic number.

10577355360000 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 10577355360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20821870524840).

10577355360000 is an abundant number, since it is smaller than the sum of its proper divisors (31066385689680).

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

10577355360000 is a wasteful number, since it uses less digits than its factorization.

10577355360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14083 (or 14043 counting only the distinct ones).

The product of its (nonzero) digits is 330750, while the sum is 42.

The spelling of 10577355360000 in words is "ten trillion, five hundred seventy-seven billion, three hundred fifty-five million, three hundred sixty thousand".