97395745789440 has 480 divisors, whose sum is σ = 385535542556736. Its totient is φ = 22259592069120.

The previous prime is 97395745789439. The next prime is 97395745789457. The reversal of 97395745789440 is 4498754759379.

97395745789440 is a `hidden beast` number, since 9 + 7 + 3 + 9 + 57 + 45 + 7 + 89 + 440 = 666.

97395745789440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 97395745789440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1941947404 + ... + 1941997556.

Almost surely, 2^{97395745789440} is an apocalyptic number.

97395745789440 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 97395745789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192767771278368).

97395745789440 is an abundant number, since it is smaller than the sum of its proper divisors (288139796767296).

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

97395745789440 is a wasteful number, since it uses less digits than its factorization.

97395745789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62230 (or 62211 counting only the distinct ones).

The product of its (nonzero) digits is 9601804800, while the sum is 81.

The spelling of 97395745789440 in words is "ninety-seven trillion, three hundred ninety-five billion, seven hundred forty-five million, seven hundred eighty-nine thousand, four hundred forty".