10955680346520 has 640 divisors, whose sum is σ = 47706270796800. Its totient is φ = 2189867664384.

The previous prime is 10955680346509. The next prime is 10955680346603. The reversal of 10955680346520 is 2564308655901.

10955680346520 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 5 + 6 + 80 + 34 + 6 + 520 = 666.

It is a super-2 number, since 2×10955680346520² (a number of 27 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 4624117 + ... + 6579803.

It is an arithmetic number, because the mean of its divisors is an integer number (74541048120).

Almost surely, 2^{10955680346520} is an apocalyptic number.

10955680346520 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 10955680346520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23853135398400).

10955680346520 is an abundant number, since it is smaller than the sum of its proper divisors (36750590450280).

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

10955680346520 is a wasteful number, since it uses less digits than its factorization.

10955680346520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955749 (or 1955736 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 10955680346520 in words is "ten trillion, nine hundred fifty-five billion, six hundred eighty million, three hundred forty-six thousand, five hundred twenty".