971698760800 has 144 divisors (see below), whose sum is σ = 2432029933872. Its totient is φ = 378904780800.

The previous prime is 971698760789. The next prime is 971698760801. The reversal of 971698760800 is 8067896179.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971698760801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17895292 + ... + 17949508.

It is an arithmetic number, because the mean of its divisors is an integer number (16889096763).

Almost surely, 2^971698760800 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 971698760800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216014966936).

971698760800 is an abundant number, since it is smaller than the sum of its proper divisors (1460331173072).

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

971698760800 is a wasteful number, since it uses less digits than its factorization.

971698760800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54801 (or 54788 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 61.

The spelling of 971698760800 in words is "nine hundred seventy-one billion, six hundred ninety-eight million, seven hundred sixty thousand, eight hundred".