9777311191872 has 448 divisors, whose sum is σ = 34778645606400. Its totient is φ = 2631181916160.

The previous prime is 9777311191867. The next prime is 9777311191889. The reversal of 9777311191872 is 2781911137779.

9777311191872 is a `hidden beast` number, since 97 + 77 + 311 + 1 + 91 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39636597 + ... + 39882507.

Almost surely, 2^{9777311191872} 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 9777311191872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17389322803200).

9777311191872 is an abundant number, since it is smaller than the sum of its proper divisors (25001334414528).

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

9777311191872 is a wasteful number, since it uses less digits than its factorization.

9777311191872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246131 (or 246115 counting only the distinct ones).

The product of its digits is 9335088, while the sum is 63.

The spelling of 9777311191872 in words is "nine trillion, seven hundred seventy-seven billion, three hundred eleven million, one hundred ninety-one thousand, eight hundred seventy-two".