10097891879616 has 336 divisors, whose sum is σ = 31067339846400. Its totient is φ = 3126281619456.

The previous prime is 10097891879573. The next prime is 10097891879629. The reversal of 10097891879616 is 61697819879001.

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

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 47 ways as a sum of consecutive naturals, for example, 240823645 + ... + 240865571.

Almost surely, 2^{10097891879616} is an apocalyptic number.

10097891879616 is a gapful number since it is divisible by the number (16) 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 10097891879616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15533669923200).

10097891879616 is an abundant number, since it is smaller than the sum of its proper divisors (20969447966784).

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

10097891879616 is a wasteful number, since it uses less digits than its factorization.

10097891879616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42396 (or 42383 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 72.

The spelling of 10097891879616 in words is "ten trillion, ninety-seven billion, eight hundred ninety-one million, eight hundred seventy-nine thousand, six hundred sixteen".