10928929536000 has 3840 divisors, whose sum is σ = 50934539335680. Its totient is φ = 2274125414400.

The previous prime is 10928929535971. The next prime is 10928929536001. The reversal of 10928929536000 is 63592982901.

It is a happy number.

10928929536000 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 8 + 9 + 29 + 5 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10928929536001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 106106111949 + ... + 106106112051.

It is an arithmetic number, because the mean of its divisors is an integer number (13264202952).

Almost surely, 2^{10928929536000} is an apocalyptic number.

10928929536000 is a gapful number since it is divisible by the number (10) 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 10928929536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25467269667840).

10928929536000 is an abundant number, since it is smaller than the sum of its proper divisors (40005609799680).

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

10928929536000 is a wasteful number, since it uses less digits than its factorization.

10928929536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 10928929536000 in words is "ten trillion, nine hundred twenty-eight billion, nine hundred twenty-nine million, five hundred thirty-six thousand".