9728777520000 has 4320 divisors, whose sum is σ = 46634518770840. Its totient is φ = 1937295360000.

The previous prime is 9728777519999. The next prime is 9728777520031. The reversal of 9728777520000 is 257778279.

9728777520000 is a `hidden beast` number, since 97 + 28 + 7 + 7 + 7 + 520 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×9728777520000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 183561839974 + ... + 183561840026.

Almost surely, 2^{9728777520000} is an apocalyptic number.

9728777520000 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 9728777520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23317259385420).

9728777520000 is an abundant number, since it is smaller than the sum of its proper divisors (36905741250840).

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

9728777520000 is a wasteful number, since it uses less digits than its factorization.

9728777520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 54.

The spelling of 9728777520000 in words is "nine trillion, seven hundred twenty-eight billion, seven hundred seventy-seven million, five hundred twenty thousand".