97735839755520 has 576 divisors, whose sum is σ = 340199052883200. Its totient is φ = 23818945167360.

The previous prime is 97735839755513. The next prime is 97735839755557. The reversal of 97735839755520 is 2555793853779.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2498787484 + ... + 2498826596.

It is an arithmetic number, because the mean of its divisors is an integer number (590623355700).

Almost surely, 2^{97735839755520} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97735839755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170099526441600).

97735839755520 is an abundant number, since it is smaller than the sum of its proper divisors (242463213127680).

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

97735839755520 is a wasteful number, since it uses less digits than its factorization.

97735839755520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40366 (or 40352 counting only the distinct ones).

The product of its (nonzero) digits is 2500470000, while the sum is 75.

The spelling of 97735839755520 in words is "ninety-seven trillion, seven hundred thirty-five billion, eight hundred thirty-nine million, seven hundred fifty-five thousand, five hundred twenty".