97093130400 has 432 divisors, whose sum is σ = 397139206464. Its totient is φ = 21860720640.

The previous prime is 97093130369. The next prime is 97093130413. The reversal of 97093130400 is 403139079.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3362424 + ... + 3391176.

Almost surely, 2^97093130400 is an apocalyptic number.

97093130400 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 97093130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198569603232).

97093130400 is an abundant number, since it is smaller than the sum of its proper divisors (300046076064).

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

97093130400 is a wasteful number, since it uses less digits than its factorization.

97093130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28853 (or 28837 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

Adding to 97093130400 its reverse (403139079), we get a palindrome (97496269479).

The spelling of 97093130400 in words is "ninety-seven billion, ninety-three million, one hundred thirty thousand, four hundred".