10964238779520 has 2048 divisors, whose sum is σ = 44587597824000. Its totient is φ = 2527336857600.

The previous prime is 10964238779503. The next prime is 10964238779561. The reversal of 10964238779520 is 2597783246901.

10964238779520 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 4 + 2 + 38 + 7 + 79 + 520 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 45494766600 + ... + 45494766840.

It is an arithmetic number, because the mean of its divisors is an integer number (21771288000).

It is a 1-persistent number, because it is pandigital, but 2⋅10964238779520 = 21928477559040 is not.

Almost surely, 2^{10964238779520} is an apocalyptic number.

10964238779520 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 10964238779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22293798912000).

10964238779520 is an abundant number, since it is smaller than the sum of its proper divisors (33623359044480).

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

10964238779520 is a wasteful number, since it uses less digits than its factorization.

10964238779520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 10964238779520 in words is "ten trillion, nine hundred sixty-four billion, two hundred thirty-eight million, seven hundred seventy-nine thousand, five hundred twenty".