10577315840 has 192 divisors, whose sum is σ = 31238887680. Its totient is φ = 3347251200.

The previous prime is 10577315813. The next prime is 10577315851. The reversal of 10577315840 is 4851377501.

It is a happy number.

It is a super-2 number, since 2×10577315840² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 926165 + ... + 937515.

It is an arithmetic number, because the mean of its divisors is an integer number (162702540).

Almost surely, 2^10577315840 is an apocalyptic number.

10577315840 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 10577315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15619443840).

10577315840 is an abundant number, since it is smaller than the sum of its proper divisors (20661571840).

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

10577315840 is a wasteful number, since it uses less digits than its factorization.

10577315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11398 (or 11378 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 41.

The spelling of 10577315840 in words is "ten billion, five hundred seventy-seven million, three hundred fifteen thousand, eight hundred forty".