10955255787840 has 448 divisors, whose sum is σ = 44285977935360. Its totient is φ = 2231733288960.

The previous prime is 10955255787809. The next prime is 10955255787941. The reversal of 10955255787840 is 4878755255901.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371310 + ... + 4695570.

It is an arithmetic number, because the mean of its divisors is an integer number (98852629320).

Almost surely, 2^{10955255787840} is an apocalyptic number.

10955255787840 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 10955255787840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22142988967680).

10955255787840 is an abundant number, since it is smaller than the sum of its proper divisors (33330722147520).

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

10955255787840 is a wasteful number, since it uses less digits than its factorization.

10955255787840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324330 (or 4324320 counting only the distinct ones).

The product of its (nonzero) digits is 141120000, while the sum is 66.

The spelling of 10955255787840 in words is "ten trillion, nine hundred fifty-five billion, two hundred fifty-five million, seven hundred eighty-seven thousand, eight hundred forty".