97225094400 has 648 divisors, whose sum is σ = 395269701120. Its totient is φ = 20912209920.

The previous prime is 97225094359. The next prime is 97225094413. The reversal of 97225094400 is 449052279.

It is a super-2 number, since 2×97225094400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 15990561 + ... + 15996639.

Almost surely, 2^97225094400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97225094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197634850560).

97225094400 is an abundant number, since it is smaller than the sum of its proper divisors (298044606720).

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

97225094400 is a wasteful number, since it uses less digits than its factorization.

97225094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6139 (or 6113 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 97225094400 in words is "ninety-seven billion, two hundred twenty-five million, ninety-four thousand, four hundred".