97249315800 has 384 divisors, whose sum is σ = 371886197760. Its totient is φ = 20471961600.

The previous prime is 97249315789. The next prime is 97249315831. The reversal of 97249315800 is 851394279.

It is a self number, because there is not a number n which added to its sum of digits gives 97249315800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27462030 + ... + 27465570.

It is an arithmetic number, because the mean of its divisors is an integer number (968453640).

Almost surely, 2^97249315800 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 97249315800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185943098880).

97249315800 is an abundant number, since it is smaller than the sum of its proper divisors (274636881960).

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

97249315800 is a wasteful number, since it uses less digits than its factorization.

97249315800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 97249315800 in words is "ninety-seven billion, two hundred forty-nine million, three hundred fifteen thousand, eight hundred".