97459200000 has 840 divisors, whose sum is σ = 371665524384. Its totient is φ = 25436160000.

The previous prime is 97459199993. The next prime is 97459200031. The reversal of 97459200000 is 295479.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2073599977 + ... + 2073600023.

Almost surely, 2^97459200000 is an apocalyptic number.

97459200000 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 97459200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185832762192).

97459200000 is an abundant number, since it is smaller than the sum of its proper divisors (274206324384).

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

97459200000 is an frugal number, since it uses more digits than its factorization.

97459200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Adding to 97459200000 its reverse (295479), we get a palindrome (97459495479).

The spelling of 97459200000 in words is "ninety-seven billion, four hundred fifty-nine million, two hundred thousand".