971297308800 has 960 divisors, whose sum is σ = 4411554100800. Its totient is φ = 204928081920.

The previous prime is 971297308759. The next prime is 971297308823. The reversal of 971297308800 is 8803792179.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 23566611 + ... + 23607789.

It is an arithmetic number, because the mean of its divisors is an integer number (4595368855).

Almost surely, 2^971297308800 is an apocalyptic number.

971297308800 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 971297308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205777050400).

971297308800 is an abundant number, since it is smaller than the sum of its proper divisors (3440256792000).

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

971297308800 is a wasteful number, since it uses less digits than its factorization.

971297308800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41235 (or 41209 counting only the distinct ones).

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

The spelling of 971297308800 in words is "nine hundred seventy-one billion, two hundred ninety-seven million, three hundred eight thousand, eight hundred".