9977714361888 has 864 divisors, whose sum is σ = 35207629128000. Its totient is φ = 2458563674112.

The previous prime is 9977714361887. The next prime is 9977714361929. The reversal of 9977714361888 is 8881634177799.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is not an unprimeable number, because it can be changed into a prime (9977714361887) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1102627188 + ... + 1102636236.

It is an arithmetic number, because the mean of its divisors is an integer number (40749570750).

Almost surely, 2^{9977714361888} is an apocalyptic number.

9977714361888 is a gapful number since it is divisible by the number (98) 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 9977714361888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17603814564000).

9977714361888 is an abundant number, since it is smaller than the sum of its proper divisors (25229914766112).

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

9977714361888 is a wasteful number, since it uses less digits than its factorization.

9977714361888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9194 (or 9166 counting only the distinct ones).

The product of its digits is 1024192512, while the sum is 78.

The spelling of 9977714361888 in words is "nine trillion, nine hundred seventy-seven billion, seven hundred fourteen million, three hundred sixty-one thousand, eight hundred eighty-eight".