973357056000 has 1728 divisors, whose sum is σ = 4287032096256. Its totient is φ = 207618048000.

The previous prime is 973357055999. The next prime is 973357056017. The reversal of 973357056000 is 650753379.

973357056000 is a `hidden beast` number, since 9 + 7 + 3 + 35 + 7 + 0 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23740415980 + ... + 23740416020.

It is an arithmetic number, because the mean of its divisors is an integer number (2480921352).

Almost surely, 2^973357056000 is an apocalyptic number.

973357056000 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 973357056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143516048128).

973357056000 is an abundant number, since it is smaller than the sum of its proper divisors (3313675040256).

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

973357056000 is an equidigital number, since it uses as much as digits as its factorization.

973357056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 45.

The spelling of 973357056000 in words is "nine hundred seventy-three billion, three hundred fifty-seven million, fifty-six thousand".