97321651200 has 528 divisors, whose sum is σ = 361126172160. Its totient is φ = 25681674240.

The previous prime is 97321651199. The next prime is 97321651201. The reversal of 97321651200 is 215612379.

It is an interprime number because it is at equal distance from previous prime (97321651199) and next prime (97321651201).

It is a super-2 number, since 2×97321651200² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (97321651201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71192917 + ... + 71194283.

Almost surely, 2^97321651200 is an apocalyptic number.

97321651200 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 97321651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180563086080).

97321651200 is an abundant number, since it is smaller than the sum of its proper divisors (263804520960).

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

97321651200 is a wasteful number, since it uses less digits than its factorization.

97321651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1480 counting only the distinct ones).

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

The spelling of 97321651200 in words is "ninety-seven billion, three hundred twenty-one million, six hundred fifty-one thousand, two hundred".