97163276120064 has 1872 divisors, whose sum is σ = 375927910315776. Its totient is φ = 23585929297920.

The previous prime is 97163276120059. The next prime is 97163276120101. The reversal of 97163276120064 is 46002167236179.

97163276120064 is a `hidden beast` number, since 9 + 7 + 16 + 3 + 2 + 7 + 612 + 0 + 0 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 86521171407 + ... + 86521172529.

It is an arithmetic number, because the mean of its divisors is an integer number (200816191408).

Almost surely, 2^{97163276120064} 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 97163276120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187963955157888).

97163276120064 is an abundant number, since it is smaller than the sum of its proper divisors (278764634195712).

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

97163276120064 is a wasteful number, since it uses less digits than its factorization.

97163276120064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 97163276120064 in words is "ninety-seven trillion, one hundred sixty-three billion, two hundred seventy-six million, one hundred twenty thousand, sixty-four".