97826601600 has 1152 divisors, whose sum is σ = 434145129600. Its totient is φ = 20424130560.

The previous prime is 97826601563. The next prime is 97826601619. The reversal of 97826601600 is 610662879.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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 143 ways as a sum of consecutive naturals, for example, 427190286 + ... + 427190514.

Almost surely, 2^97826601600 is an apocalyptic number.

97826601600 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 97826601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217072564800).

97826601600 is an abundant number, since it is smaller than the sum of its proper divisors (336318528000).

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

97826601600 is a wasteful number, since it uses less digits than its factorization.

97826601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 97826601600 in words is "ninety-seven billion, eight hundred twenty-six million, six hundred one thousand, six hundred".