97782894489600 has 1248 divisors, whose sum is σ = 382822837770240. Its totient is φ = 24410302709760.

The previous prime is 97782894489583. The next prime is 97782894489737. The reversal of 97782894489600 is 698449828779.

97782894489600 is a `hidden beast` number, since 9 + 7 + 7 + 8 + 2 + 89 + 448 + 96 + 0 + 0 = 666.

It is a super-2 number, since 2×97782894489600² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 97782894489600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2988732442 + ... + 2988765158.

Almost surely, 2^{97782894489600} is an apocalyptic number.

97782894489600 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 97782894489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191411418885120).

97782894489600 is an abundant number, since it is smaller than the sum of its proper divisors (285039943280640).

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

97782894489600 is a wasteful number, since it uses less digits than its factorization.

97782894489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32830 (or 32797 counting only the distinct ones).

The product of its (nonzero) digits is 3511517184, while the sum is 81.

The spelling of 97782894489600 in words is "ninety-seven trillion, seven hundred eighty-two billion, eight hundred ninety-four million, four hundred eighty-nine thousand, six hundred".