97855430400 has 1728 divisors, whose sum is σ = 454193152000. Its totient is φ = 20483850240.

The previous prime is 97855430377. The next prime is 97855430411. The reversal of 97855430400 is 403455879.

97855430400 is a `hidden beast` number, since 97 + 8 + 554 + 3 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 770515137 + ... + 770515263.

Almost surely, 2^97855430400 is an apocalyptic number.

97855430400 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 97855430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227096576000).

97855430400 is an abundant number, since it is smaller than the sum of its proper divisors (356337721600).

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

97855430400 is a wasteful number, since it uses less digits than its factorization.

97855430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 97855430400 in words is "ninety-seven billion, eight hundred fifty-five million, four hundred thirty thousand, four hundred".