97945755000 has 320 divisors, whose sum is σ = 325839697920. Its totient is φ = 24441600000.

The previous prime is 97945754999. The next prime is 97945755029. The reversal of 97945755000 is 55754979.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 79 ways as a sum of consecutive naturals, for example, 48703995 + ... + 48706005.

It is an arithmetic number, because the mean of its divisors is an integer number (1018249056).

Almost surely, 2^97945755000 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 97945755000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162919848960).

97945755000 is an abundant number, since it is smaller than the sum of its proper divisors (227893942920).

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

97945755000 is a wasteful number, since it uses less digits than its factorization.

97945755000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 1984500, while the sum is 51.

The spelling of 97945755000 in words is "ninety-seven billion, nine hundred forty-five million, seven hundred fifty-five thousand".