96897146400 has 288 divisors, whose sum is σ = 361751846400. Its totient is φ = 25005542400.

The previous prime is 96897146399. The next prime is 96897146441. The reversal of 96897146400 is 464179869.

96897146400 is a `hidden beast` number, since 9 + 6 + 8 + 97 + 146 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×96897146400³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 597246 + ... + 741954.

It is an arithmetic number, because the mean of its divisors is an integer number (1256082800).

Almost surely, 2^96897146400 is an apocalyptic number.

96897146400 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 96897146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180875923200).

96897146400 is an abundant number, since it is smaller than the sum of its proper divisors (264854700000).

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

96897146400 is a wasteful number, since it uses less digits than its factorization.

96897146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144769 (or 144750 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 96897146400 in words is "ninety-six billion, eight hundred ninety-seven million, one hundred forty-six thousand, four hundred".