10940947652880 has 640 divisors, whose sum is σ = 43299828633600. Its totient is φ = 2487421440000.

The previous prime is 10940947652849. The next prime is 10940947652903. The reversal of 10940947652880 is 8825674904901.

10940947652880 is a `hidden beast` number, since 10 + 9 + 4 + 0 + 94 + 7 + 6 + 528 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 127 ways as a sum of consecutive naturals, for example, 3685060036 + ... + 3685063004.

It is an arithmetic number, because the mean of its divisors is an integer number (67655982240).

Almost surely, 2^{10940947652880} is an apocalyptic number.

10940947652880 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 10940947652880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21649914316800).

10940947652880 is an abundant number, since it is smaller than the sum of its proper divisors (32358880980720).

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

10940947652880 is a wasteful number, since it uses less digits than its factorization.

10940947652880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 10940947652880 in words is "ten trillion, nine hundred forty billion, nine hundred forty-seven million, six hundred fifty-two thousand, eight hundred eighty".