97121725776 has 240 divisors, whose sum is σ = 286798786560. Its totient is φ = 30638499840.

The previous prime is 97121725769. The next prime is 97121725777. The reversal of 97121725776 is 67752712179.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97121725777) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113327140 + ... + 113327996.

It is an arithmetic number, because the mean of its divisors is an integer number (1194994944).

Almost surely, 2^97121725776 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 97121725776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143399393280).

97121725776 is an abundant number, since it is smaller than the sum of its proper divisors (189677060784).

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

97121725776 is a wasteful number, since it uses less digits than its factorization.

97121725776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1425 counting only the distinct ones).

The product of its digits is 2593080, while the sum is 54.

The spelling of 97121725776 in words is "ninety-seven billion, one hundred twenty-one million, seven hundred twenty-five thousand, seven hundred seventy-six".