97085945053440 has 2592 divisors, whose sum is σ = 444390323569920. Its totient is φ = 19782597869568.

The previous prime is 97085945053417. The next prime is 97085945053483. The reversal of 97085945053440 is 4435054958079.

97085945053440 is a `hidden beast` number, since 9 + 7 + 0 + 8 + 5 + 9 + 4 + 50 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18988056324 + ... + 18988061436.

Almost surely, 2^{97085945053440} is an apocalyptic number.

97085945053440 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 97085945053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222195161784960).

97085945053440 is an abundant number, since it is smaller than the sum of its proper divisors (347304378516480).

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

97085945053440 is an equidigital number, since it uses as much as digits as its factorization.

97085945053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5201 (or 5166 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 97085945053440 in words is "ninety-seven trillion, eighty-five billion, nine hundred forty-five million, fifty-three thousand, four hundred forty".