97609240435200 has 1440 divisors, whose sum is σ = 369783159863040. Its totient is φ = 22558094131200.

The previous prime is 97609240435171. The next prime is 97609240435207. The reversal of 97609240435200 is 253404290679.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (97609240435207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 103729266730 + ... + 103729267670.

It is an arithmetic number, because the mean of its divisors is an integer number (256793861016).

Almost surely, 2^{97609240435200} 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 97609240435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184891579931520).

97609240435200 is an abundant number, since it is smaller than the sum of its proper divisors (272173919427840).

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

97609240435200 is a wasteful number, since it uses less digits than its factorization.

97609240435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 97609240435200 in words is "ninety-seven trillion, six hundred nine billion, two hundred forty million, four hundred thirty-five thousand, two hundred".