973351505280 has 1024 divisors, whose sum is σ = 4012206981120. Its totient is φ = 194832138240.

The previous prime is 973351505237. The next prime is 973351505323. The reversal of 973351505280 is 82505153379.

It is an interprime number because it is at equal distance from previous prime (973351505237) and next prime (973351505323).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 585297729 + ... + 585299391.

It is an arithmetic number, because the mean of its divisors is an integer number (3918170880).

Almost surely, 2^973351505280 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 973351505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006103490560).

973351505280 is an abundant number, since it is smaller than the sum of its proper divisors (3038855475840).

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

973351505280 is a wasteful number, since it uses less digits than its factorization.

973351505280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 48.

The spelling of 973351505280 in words is "nine hundred seventy-three billion, three hundred fifty-one million, five hundred five thousand, two hundred eighty".