972065551680 has 336 divisors, whose sum is σ = 3579192175104. Its totient is φ = 250855004160.

The previous prime is 972065551643. The next prime is 972065551829. The reversal of 972065551680 is 86155560279.

972065551680 is a `hidden beast` number, since 9 + 7 + 2 + 0 + 6 + 5 + 551 + 6 + 80 = 666.

It is a super-2 number, since 2×972065551680² (a number of 25 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2208934 + ... + 2612186.

It is an arithmetic number, because the mean of its divisors is an integer number (10652357664).

Almost surely, 2^972065551680 is an apocalyptic number.

972065551680 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 972065551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789596087552).

972065551680 is an abundant number, since it is smaller than the sum of its proper divisors (2607126623424).

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

972065551680 is a wasteful number, since it uses less digits than its factorization.

972065551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403316 (or 403294 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 972065551680 in words is "nine hundred seventy-two billion, sixty-five million, five hundred fifty-one thousand, six hundred eighty".