97162879968 has 360 divisors, whose sum is σ = 358970972976. Its totient is φ = 25236541440.

The previous prime is 97162879963. The next prime is 97162880057. The reversal of 97162879968 is 86997826179.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 97162879896 and 97162879905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97162879963) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2173296 + ... + 2217552.

Almost surely, 2^97162879968 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 97162879968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179485486488).

97162879968 is an abundant number, since it is smaller than the sum of its proper divisors (261808093008).

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

97162879968 is a wasteful number, since it uses less digits than its factorization.

97162879968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44308 (or 44280 counting only the distinct ones).

The product of its digits is 164602368, while the sum is 72.

It can be divided in two parts, 9716287 and 9968, that added together give a triangular number (9726255 = T₄₄₁₀).

The spelling of 97162879968 in words is "ninety-seven billion, one hundred sixty-two million, eight hundred seventy-nine thousand, nine hundred sixty-eight".