97040785121280 has 4032 divisors, whose sum is σ = 470073492322560. Its totient is φ = 18582853386240.

The previous prime is 97040785121239. The next prime is 97040785121297. The reversal of 97040785121280 is 8212158704079.

97040785121280 is a `hidden beast` number, since 9 + 7 + 0 + 40 + 7 + 8 + 512 + 1 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 158304706254 + ... + 158304706866.

It is an arithmetic number, because the mean of its divisors is an integer number (116585687580).

Almost surely, 2^{97040785121280} is an apocalyptic number.

97040785121280 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 97040785121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235036746161280).

97040785121280 is an abundant number, since it is smaller than the sum of its proper divisors (373032707201280).

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

97040785121280 is a wasteful number, since it uses less digits than its factorization.

97040785121280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 97040785121280 in words is "ninety-seven trillion, forty billion, seven hundred eighty-five million, one hundred twenty-one thousand, two hundred eighty".