97682654160 has 2560 divisors, whose sum is σ = 483809034240. Its totient is φ = 17517772800.

The previous prime is 97682654063. The next prime is 97682654161. The reversal of 97682654160 is 6145628679.

97682654160 is a `hidden beast` number, since 9 + 76 + 8 + 26 + 541 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 97682654097 and 97682654106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97682654161) by changing a digit.

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 511 ways as a sum of consecutive naturals, for example, 2382503740 + ... + 2382503780.

It is an arithmetic number, because the mean of its divisors is an integer number (188987904).

Almost surely, 2^97682654160 is an apocalyptic number.

97682654160 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 97682654160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241904517120).

97682654160 is an abundant number, since it is smaller than the sum of its proper divisors (386126380080).

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

97682654160 is a wasteful number, since it uses less digits than its factorization.

97682654160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

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

The spelling of 97682654160 in words is "ninety-seven billion, six hundred eighty-two million, six hundred fifty-four thousand, one hundred sixty".