97982126550 has 384 divisors, whose sum is σ = 337736954880. Its totient is φ = 20292249600.

The previous prime is 97982126549. The next prime is 97982126569. The reversal of 97982126550 is 5562128979.

97982126550 is a `hidden beast` number, since 9 + 7 + 9 + 82 + 1 + 2 + 6 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 35029752 + ... + 35032548.

It is an arithmetic number, because the mean of its divisors is an integer number (879523320).

Almost surely, 2^97982126550 is an apocalyptic number.

97982126550 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97982126550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168868477440).

97982126550 is an abundant number, since it is smaller than the sum of its proper divisors (239754828330).

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

97982126550 is a wasteful number, since it uses less digits than its factorization.

97982126550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 97982126550 in words is "ninety-seven billion, nine hundred eighty-two million, one hundred twenty-six thousand, five hundred fifty".