9771138178560 has 1440 divisors, whose sum is σ = 39853265227776. Its totient is φ = 2191749120000.

The previous prime is 9771138178513. The next prime is 9771138178597. The reversal of 9771138178560 is 658718311779.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4156161385 + ... + 4156163735.

Almost surely, 2^{9771138178560} is an apocalyptic number.

9771138178560 is a gapful number since it is divisible by the number (90) 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 9771138178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19926632613888).

9771138178560 is an abundant number, since it is smaller than the sum of its proper divisors (30082127049216).

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

9771138178560 is a wasteful number, since it uses less digits than its factorization.

9771138178560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 63.

The spelling of 9771138178560 in words is "nine trillion, seven hundred seventy-one billion, one hundred thirty-eight million, one hundred seventy-eight thousand, five hundred sixty".