97812748800 has 1440 divisors, whose sum is σ = 407255808960. Its totient is φ = 23091609600.

The previous prime is 97812748783. The next prime is 97812748843. The reversal of 97812748800 is 884721879.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1657843171 + ... + 1657843229.

It is an arithmetic number, because the mean of its divisors is an integer number (282816534).

Almost surely, 2^97812748800 is an apocalyptic number.

97812748800 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 97812748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203627904480).

97812748800 is an abundant number, since it is smaller than the sum of its proper divisors (309443060160).

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

97812748800 is a wasteful number, since it uses less digits than its factorization.

97812748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 97812748800 in words is "ninety-seven billion, eight hundred twelve million, seven hundred forty-eight thousand, eight hundred".