97435831680 has 192 divisors, whose sum is σ = 367045445520. Its totient is φ = 23620792320.

The previous prime is 97435831663. The next prime is 97435831693. The reversal of 97435831680 is 8613853479.

97435831680 is a `hidden beast` number, since 9 + 7 + 43 + 583 + 16 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 705547 + ... + 832266.

Almost surely, 2^97435831680 is an apocalyptic number.

97435831680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97435831680 is an abundant number, since it is smaller than the sum of its proper divisors (269609613840).

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

97435831680 is a wasteful number, since it uses less digits than its factorization.

97435831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537849 (or 1537834 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 97435831680 in words is "ninety-seven billion, four hundred thirty-five million, eight hundred thirty-one thousand, six hundred eighty".