97838807442210 has 96 divisors (see below), whose sum is σ = 257678493546240. Its totient is φ = 25752332795904.

The previous prime is 97838807442143. The next prime is 97838807442239. The reversal of 97838807442210 is 1224470883879.

97838807442210 is a `hidden beast` number, since 9 + 78 + 38 + 80 + 7 + 442 + 2 + 10 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21556002 + ... + 25697058.

It is an arithmetic number, because the mean of its divisors is an integer number (2684150974440).

Almost surely, 2^{97838807442210} is an apocalyptic number.

97838807442210 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 97838807442210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128839246773120).

97838807442210 is an abundant number, since it is smaller than the sum of its proper divisors (159839686104030).

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

97838807442210 is a wasteful number, since it uses less digits than its factorization.

97838807442210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144472 (or 4144469 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 97838807442210 in words is "ninety-seven trillion, eight hundred thirty-eight billion, eight hundred seven million, four hundred forty-two thousand, two hundred ten".