97045958880 has 288 divisors, whose sum is σ = 357095269440. Its totient is φ = 23858012160.

The previous prime is 97045958839. The next prime is 97045958897. The reversal of 97045958880 is 8885954079.

It is a happy number.

97045958880 is a `hidden beast` number, since 9 + 7 + 0 + 45 + 9 + 588 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17200860 + ... + 17206500.

It is an arithmetic number, because the mean of its divisors is an integer number (1239914130).

Almost surely, 2^97045958880 is an apocalyptic number.

97045958880 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 97045958880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178547634720).

97045958880 is an abundant number, since it is smaller than the sum of its proper divisors (260049310560).

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

97045958880 is a wasteful number, since it uses less digits than its factorization.

97045958880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6594 (or 6583 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 97045958880 in words is "ninety-seven billion, forty-five million, nine hundred fifty-eight thousand, eight hundred eighty".