97282737484800 has 528 divisors, whose sum is σ = 375274910392320. Its totient is φ = 21762941091840.

The previous prime is 97282737484721. The next prime is 97282737484813. The reversal of 97282737484800 is 848473728279.

It is a happy number.

It is a super-2 number, since 2×97282737484800² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23342121 + ... + 27192279.

Almost surely, 2^{97282737484800} 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 97282737484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187637455196160).

97282737484800 is an abundant number, since it is smaller than the sum of its proper divisors (277992172907520).

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

97282737484800 is a wasteful number, since it uses less digits than its factorization.

97282737484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3850246 (or 3850223 counting only the distinct ones).

The product of its (nonzero) digits is 303464448, while the sum is 69.

The spelling of 97282737484800 in words is "ninety-seven trillion, two hundred eighty-two billion, seven hundred thirty-seven million, four hundred eighty-four thousand, eight hundred".