97825728000 has 1280 divisors, whose sum is σ = 437551994880. Its totient is φ = 18726912000.

The previous prime is 97825727971. The next prime is 97825728037. The reversal of 97825728000 is 82752879.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 192191746 + ... + 192192254.

It is an arithmetic number, because the mean of its divisors is an integer number (341837496).

Almost surely, 2^97825728000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97825728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218775997440).

97825728000 is an abundant number, since it is smaller than the sum of its proper divisors (339726266880).

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

97825728000 is a wasteful number, since it uses less digits than its factorization.

97825728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 97825728000 in words is "ninety-seven billion, eight hundred twenty-five million, seven hundred twenty-eight thousand".