97499438400 has 1344 divisors, whose sum is σ = 419073177600. Its totient is φ = 19291668480.

The previous prime is 97499438369. The next prime is 97499438401. The reversal of 97499438400 is 483499479.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×97499438400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97499438401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 544689511 + ... + 544689689.

It is an arithmetic number, because the mean of its divisors is an integer number (311810400).

Almost surely, 2^97499438400 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 97499438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209536588800).

97499438400 is an abundant number, since it is smaller than the sum of its proper divisors (321573739200).

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

97499438400 is a wasteful number, since it uses less digits than its factorization.

97499438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 97499438400 in words is "ninety-seven billion, four hundred ninety-nine million, four hundred thirty-eight thousand, four hundred".