9729386550972 has 288 divisors, whose sum is σ = 28811819554560. Its totient is φ = 2815609230720.

The previous prime is 9729386550931. The next prime is 9729386550977. The reversal of 9729386550972 is 2790556839279.

9729386550972 is a `hidden beast` number, since 9 + 7 + 29 + 38 + 65 + 509 + 7 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 9729386550972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9729386550977) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 404082598 + ... + 404106674.

It is an arithmetic number, because the mean of its divisors is an integer number (100041040120).

Almost surely, 2^{9729386550972} is an apocalyptic number.

9729386550972 is a gapful number since it is divisible by the number (92) 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 9729386550972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14405909777280).

9729386550972 is an abundant number, since it is smaller than the sum of its proper divisors (19082433003588).

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

9729386550972 is a wasteful number, since it uses less digits than its factorization.

9729386550972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24790 (or 24759 counting only the distinct ones).

The product of its (nonzero) digits is 514382400, while the sum is 72.

The spelling of 9729386550972 in words is "nine trillion, seven hundred twenty-nine billion, three hundred eighty-six million, five hundred fifty thousand, nine hundred seventy-two".