97823653920000 has 1080 divisors, whose sum is σ = 357794365953024. Its totient is φ = 25692696576000.

The previous prime is 97823653919989. The next prime is 97823653920043. The reversal of 97823653920000 is 2935632879.

It is a happy number.

97823653920000 is a `hidden beast` number, since 9 + 7 + 82 + 3 + 6 + 539 + 20 + 0 + 0 + 0 = 666.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 45776158932 + ... + 45776161068.

Almost surely, 2^{97823653920000} is an apocalyptic number.

97823653920000 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 97823653920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178897182976512).

97823653920000 is an abundant number, since it is smaller than the sum of its proper divisors (259970712033024).

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

97823653920000 is a wasteful number, since it uses less digits than its factorization.

97823653920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 97823653920000 in words is "ninety-seven trillion, eight hundred twenty-three billion, six hundred fifty-three million, nine hundred twenty thousand".