10577712144 has 160 divisors (see below), whose sum is σ = 29529538560. Its totient is φ = 3254017536.

The previous prime is 10577712127. The next prime is 10577712149. The reversal of 10577712144 is 44121777501.

It is a super-2 number, since 2×10577712144² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10577712149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5186677 + ... + 5188715.

It is an arithmetic number, because the mean of its divisors is an integer number (184559616).

Almost surely, 2^10577712144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10577712144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14764769280).

10577712144 is an abundant number, since it is smaller than the sum of its proper divisors (18951826416).

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

10577712144 is a wasteful number, since it uses less digits than its factorization.

10577712144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 39.

The spelling of 10577712144 in words is "ten billion, five hundred seventy-seven million, seven hundred twelve thousand, one hundred forty-four".