97990041600 has 1008 divisors, whose sum is σ = 399310067520. Its totient is φ = 23622451200.

The previous prime is 97990041557. The next prime is 97990041607. The reversal of 97990041600 is 614009979.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97990041607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 547430311 + ... + 547430489.

It is an arithmetic number, because the mean of its divisors is an integer number (396140940).

Almost surely, 2^97990041600 is an apocalyptic number.

97990041600 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 97990041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199655033760).

97990041600 is an abundant number, since it is smaller than the sum of its proper divisors (301320025920).

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

97990041600 is a wasteful number, since it uses less digits than its factorization.

97990041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 97990041600 in words is "ninety-seven billion, nine hundred ninety million, forty-one thousand, six hundred".