971896147200 has 1728 divisors, whose sum is σ = 4335922483200. Its totient is φ = 209947852800.

The previous prime is 971896147171. The next prime is 971896147223. The reversal of 971896147200 is 2741698179.

971896147200 is a `hidden beast` number, since 9 + 7 + 18 + 9 + 614 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 613957609 + ... + 613959191.

It is an arithmetic number, because the mean of its divisors is an integer number (2509214400).

Almost surely, 2^971896147200 is an apocalyptic number.

971896147200 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 971896147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167961241600).

971896147200 is an abundant number, since it is smaller than the sum of its proper divisors (3364026336000).

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

971896147200 is a wasteful number, since it uses less digits than its factorization.

971896147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 971896147200 in words is "nine hundred seventy-one billion, eight hundred ninety-six million, one hundred forty-seven thousand, two hundred".