97112040480 has 960 divisors, whose sum is σ = 428458947840. Its totient is φ = 20167335936.

The previous prime is 97112040461. The next prime is 97112040497. The reversal of 97112040480 is 8404021179.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 159 ways as a sum of consecutive naturals, for example, 79016506 + ... + 79017734.

It is an arithmetic number, because the mean of its divisors is an integer number (446311404).

Almost surely, 2^97112040480 is an apocalyptic number.

97112040480 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 97112040480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214229473920).

97112040480 is an abundant number, since it is smaller than the sum of its proper divisors (331346907360).

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

97112040480 is a wasteful number, since it uses less digits than its factorization.

97112040480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 97112040480 in words is "ninety-seven billion, one hundred twelve million, forty thousand, four hundred eighty".