973831265280 has 704 divisors, whose sum is σ = 3732234508800. Its totient is φ = 239993487360.

The previous prime is 973831265279. The next prime is 973831265327. The reversal of 973831265280 is 82562138379.

973831265280 is a `hidden beast` number, since 9 + 73 + 8 + 31 + 265 + 280 = 666.

973831265280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 107684439 + ... + 107693481.

Almost surely, 2^973831265280 is an apocalyptic number.

973831265280 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 973831265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866117254400).

973831265280 is an abundant number, since it is smaller than the sum of its proper divisors (2758403243520).

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

973831265280 is a wasteful number, since it uses less digits than its factorization.

973831265280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9137 (or 9113 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 973831265280 in words is "nine hundred seventy-three billion, eight hundred thirty-one million, two hundred sixty-five thousand, two hundred eighty".