10946072546640 has 1920 divisors, whose sum is σ = 49932404121600. Its totient is φ = 2137168281600.

The previous prime is 10946072546611. The next prime is 10946072546677. The reversal of 10946072546640 is 4664527064901.

10946072546640 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 607 + 25 + 4 + 6 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14234164176 + ... + 14234164944.

It is an arithmetic number, because the mean of its divisors is an integer number (26006460480).

Almost surely, 2^{10946072546640} is an apocalyptic number.

10946072546640 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 10946072546640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24966202060800).

10946072546640 is an abundant number, since it is smaller than the sum of its proper divisors (38986331574960).

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

10946072546640 is a wasteful number, since it uses less digits than its factorization.

10946072546640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 10946072546640 in words is "ten trillion, nine hundred forty-six billion, seventy-two million, five hundred forty-six thousand, six hundred forty".