97395136611840 has 320 divisors, whose sum is σ = 345999888875520. Its totient is φ = 25968714670080.

The previous prime is 97395136611781. The next prime is 97395136611847. The reversal of 97395136611840 is 4811663159379.

It is a happy number.

97395136611840 is a `hidden beast` number, since 9 + 7 + 3 + 9 + 5 + 1 + 3 + 6 + 611 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97395136611847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 566075907 + ... + 566247933.

It is an arithmetic number, because the mean of its divisors is an integer number (1081249652736).

Almost surely, 2^{97395136611840} is an apocalyptic number.

97395136611840 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 97395136611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172999944437760).

97395136611840 is an abundant number, since it is smaller than the sum of its proper divisors (248604752263680).

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

97395136611840 is a wasteful number, since it uses less digits than its factorization.

97395136611840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180250 (or 180228 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 97395136611840 in words is "ninety-seven trillion, three hundred ninety-five billion, one hundred thirty-six million, six hundred eleven thousand, eight hundred forty".