97009812480 has 352 divisors, whose sum is σ = 357211653120. Its totient is φ = 22010757120.

The previous prime is 97009812433. The next prime is 97009812481. The reversal of 97009812480 is 8421890079.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (97009812481) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14942035 + ... + 14948525.

Almost surely, 2^97009812480 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 97009812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178605826560).

97009812480 is an abundant number, since it is smaller than the sum of its proper divisors (260201840640).

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

97009812480 is a wasteful number, since it uses less digits than its factorization.

97009812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6665 (or 6647 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 97009812480 in words is "ninety-seven billion, nine million, eight hundred twelve thousand, four hundred eighty".