96901185427200 has 6804 divisors, whose sum is σ = 478833009850944. Its totient is φ = 19313344512000.

The previous prime is 96901185427183. The next prime is 96901185427201. The reversal of 96901185427200 is 272458110969.

It is a happy number.

96901185427200 is a `hidden beast` number, since 9 + 6 + 9 + 0 + 1 + 1 + 8 + 5 + 427 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (6804).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96901185427201) by changing a digit.

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 755 ways as a sum of consecutive naturals, for example, 857532614344 + ... + 857532614456.

Almost surely, 2^{96901185427200} is an apocalyptic number.

96901185427200 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 96901185427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239416504925472).

96901185427200 is an abundant number, since it is smaller than the sum of its proper divisors (381931824423744).

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

96901185427200 is a wasteful number, since it uses less digits than its factorization.

96901185427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 96901185427200 in words is "ninety-six trillion, nine hundred one billion, one hundred eighty-five million, four hundred twenty-seven thousand, two hundred".