97259038209720 has 256 divisors, whose sum is σ = 341647201728000. Its totient is φ = 24542810265600.

The previous prime is 97259038209647. The next prime is 97259038209727. The reversal of 97259038209720 is 2790283095279.

97259038209720 is a `hidden beast` number, since 9 + 7 + 2 + 590 + 38 + 2 + 0 + 9 + 7 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97259038209727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15388155 + ... + 20768085.

It is an arithmetic number, because the mean of its divisors is an integer number (1334559381750).

Almost surely, 2^{97259038209720} is an apocalyptic number.

97259038209720 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 97259038209720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170823600864000).

97259038209720 is an abundant number, since it is smaller than the sum of its proper divisors (244388163518280).

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

97259038209720 is a wasteful number, since it uses less digits than its factorization.

97259038209720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5380851 (or 5380841 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 97259038209720 in words is "ninety-seven trillion, two hundred fifty-nine billion, thirty-eight million, two hundred nine thousand, seven hundred twenty".