97287133003776 has 357 divisors, whose sum is σ = 291930296587471. Its totient is φ = 32406319005696.

The previous prime is 97287133003763. The next prime is 97287133003871. The reversal of 97287133003776 is 67730033178279.

It is a happy number.

The square root of 97287133003776 is 9863424.

It is a perfect power (a square), and thus also a powerful number.

97287133003776 is a `hidden beast` number, since 9 + 7 + 287 + 13 + 300 + 37 + 7 + 6 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 68175985975 + ... + 68175987401.

Almost surely, 2^{97287133003776} is an apocalyptic number.

97287133003776 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

97287133003776 is the 9863424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97287133003776

97287133003776 is an abundant number, since it is smaller than the sum of its proper divisors (194643163583695).

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

97287133003776 is an frugal number, since it uses more digits than its factorization.

97287133003776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 56010528, while the sum is 63.

The spelling of 97287133003776 in words is "ninety-seven trillion, two hundred eighty-seven billion, one hundred thirty-three million, three thousand, seven hundred seventy-six".