97936481160 has 1280 divisors, whose sum is σ = 434693952000. Its totient is φ = 19229736960.

The previous prime is 97936481021. The next prime is 97936481173. The reversal of 97936481160 is 6118463979.

97936481160 is a `hidden beast` number, since 9 + 79 + 36 + 481 + 1 + 60 = 666.

It is a super-3 number, since 3×97936481160³ (a number of 34 digits) contains 333 as substring.

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 = 97936481097 and 97936481106.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 212443330 + ... + 212443790.

It is an arithmetic number, because the mean of its divisors is an integer number (339604650).

Almost surely, 2^97936481160 is an apocalyptic number.

97936481160 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 97936481160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217346976000).

97936481160 is an abundant number, since it is smaller than the sum of its proper divisors (336757470840).

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

97936481160 is a wasteful number, since it uses less digits than its factorization.

97936481160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 97936481160 in words is "ninety-seven billion, nine hundred thirty-six million, four hundred eighty-one thousand, one hundred sixty".