99977456128 has 240 divisors, whose sum is σ = 225287580672. Its totient is φ = 44281036800.

The previous prime is 99977456107. The next prime is 99977456129. The reversal of 99977456128 is 82165477999.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (99977456129) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 763186623 + ... + 763186753.

Almost surely, 2^99977456128 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 99977456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112643790336).

99977456128 is an abundant number, since it is smaller than the sum of its proper divisors (125310124544).

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

99977456128 is a wasteful number, since it uses less digits than its factorization.

99977456128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 368 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 67.

The spelling of 99977456128 in words is "ninety-nine billion, nine hundred seventy-seven million, four hundred fifty-six thousand, one hundred twenty-eight".