97762857313040 has 20 divisors (see below), whose sum is σ = 227298643253004. Its totient is φ = 39105142925184.

The previous prime is 97762857313021. The next prime is 97762857313073. The reversal of 97762857313040 is 4031375826779.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38150684037376 + 59612173275664 = 6176624^2 + 7720892^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 611017858127 + ... + 611017858286.

It is a 1-persistent number, because it is pandigital, but 2⋅97762857313040 = 195525714626080 is not.

Almost surely, 2^{97762857313040} is an apocalyptic number.

It is an amenable number.

97762857313040 is an abundant number, since it is smaller than the sum of its proper divisors (129535785939964).

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

97762857313040 is a wasteful number, since it uses less digits than its factorization.

97762857313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222035716426 (or 1222035716420 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 62.

The spelling of 97762857313040 in words is "ninety-seven trillion, seven hundred sixty-two billion, eight hundred fifty-seven million, three hundred thirteen thousand, forty".