97894800000 has 576 divisors, whose sum is σ = 357997086720. Its totient is φ = 25670400000.

The previous prime is 97894799987. The next prime is 97894800013. The reversal of 97894800000 is 849879.

97894800000 is a `hidden beast` number, since 97 + 89 + 480 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (97894799987) and next prime (97894800013).

It is a tau number, because it is divible by the number of its divisors (576).

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

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 71 ways as a sum of consecutive naturals, for example, 255599809 + ... + 255600191.

It is an arithmetic number, because the mean of its divisors is an integer number (621522720).

Almost surely, 2^97894800000 is an apocalyptic number.

97894800000 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 97894800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178998543360).

97894800000 is an abundant number, since it is smaller than the sum of its proper divisors (260102286720).

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

97894800000 is an equidigital number, since it uses as much as digits as its factorization.

97894800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 97894800000 in words is "ninety-seven billion, eight hundred ninety-four million, eight hundred thousand".