97896198400 has 1296 divisors, whose sum is σ = 345860988480. Its totient is φ = 26940211200.

The previous prime is 97896198397. The next prime is 97896198409. The reversal of 97896198400 is 489169879.

It is a super-2 number, since 2×97896198400² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97896198409) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1659257571 + ... + 1659257629.

Almost surely, 2^97896198400 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 97896198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172930494240).

97896198400 is an abundant number, since it is smaller than the sum of its proper divisors (247964790080).

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

97896198400 is a wasteful number, since it uses less digits than its factorization.

97896198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 61.

The spelling of 97896198400 in words is "ninety-seven billion, eight hundred ninety-six million, one hundred ninety-eight thousand, four hundred".