97851809431552 has 384 divisors, whose sum is σ = 225431454734640. Its totient is φ = 42114744320000.

The previous prime is 97851809431549. The next prime is 97851809431601. The reversal of 97851809431552 is 25513490815879.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19258373652 + ... + 19258378732.

Almost surely, 2^{97851809431552} is an apocalyptic number.

97851809431552 is a gapful number since it is divisible by the number (92) 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 97851809431552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112715727367320).

97851809431552 is an abundant number, since it is smaller than the sum of its proper divisors (127579645303088).

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

97851809431552 is a wasteful number, since it uses less digits than its factorization.

97851809431552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5269 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 67.

The spelling of 97851809431552 in words is "ninety-seven trillion, eight hundred fifty-one billion, eight hundred nine million, four hundred thirty-one thousand, five hundred fifty-two".