97755799680 has 1728 divisors, whose sum is σ = 459405535680. Its totient is φ = 18904596480.

The previous prime is 97755799667. The next prime is 97755799711. The reversal of 97755799680 is 8699755779.

97755799680 is a `hidden beast` number, since 9 + 7 + 7 + 557 + 9 + 9 + 68 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 97755799599 and 97755799608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2642048622 + ... + 2642048658.

It is an arithmetic number, because the mean of its divisors is an integer number (265859685).

Almost surely, 2^97755799680 is an apocalyptic number.

97755799680 is a gapful number since it is divisible by the number (90) 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 97755799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229702767840).

97755799680 is an abundant number, since it is smaller than the sum of its proper divisors (361649736000).

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

97755799680 is a wasteful number, since it uses less digits than its factorization.

97755799680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 300056400, while the sum is 72.

The spelling of 97755799680 in words is "ninety-seven billion, seven hundred fifty-five million, seven hundred ninety-nine thousand, six hundred eighty".