97292002728960 has 1320 divisors, whose sum is σ = 378536138552880. Its totient is φ = 23884432146432.

The previous prime is 97292002728959. The next prime is 97292002728967. The reversal of 97292002728960 is 6982720029279.

97292002728960 is a `hidden beast` number, since 9 + 7 + 29 + 200 + 272 + 89 + 60 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97292002728967) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 29366736264 + ... + 29366739576.

It is an arithmetic number, because the mean of its divisors is an integer number (286769801934).

Almost surely, 2^{97292002728960} is an apocalyptic number.

97292002728960 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 97292002728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189268069276440).

97292002728960 is an abundant number, since it is smaller than the sum of its proper divisors (281244135823920).

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

97292002728960 is a wasteful number, since it uses less digits than its factorization.

97292002728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 97292002728960 in words is "ninety-seven trillion, two hundred ninety-two billion, two million, seven hundred twenty-eight thousand, nine hundred sixty".