99877842288 has 240 divisors, whose sum is σ = 338474645760. Its totient is φ = 28110208896.

The previous prime is 99877842173. The next prime is 99877842289. The reversal of 99877842288 is 88224877899.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99877842289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1383045 + ... + 1453467.

It is an arithmetic number, because the mean of its divisors is an integer number (1410311024).

Almost surely, 2^99877842288 is an apocalyptic number.

99877842288 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 99877842288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169237322880).

99877842288 is an abundant number, since it is smaller than the sum of its proper divisors (238596803472).

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

99877842288 is a wasteful number, since it uses less digits than its factorization.

99877842288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70521 (or 70502 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 72.

The spelling of 99877842288 in words is "ninety-nine billion, eight hundred seventy-seven million, eight hundred forty-two thousand, two hundred eighty-eight".