10963027200552 has 256 divisors, whose sum is σ = 33312122726400. Its totient is φ = 2936835118080.

The previous prime is 10963027200551. The next prime is 10963027200553. The reversal of 10963027200552 is 25500272036901.

It is an interprime number because it is at equal distance from previous prime (10963027200551) and next prime (10963027200553).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10963027200551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362363058 + ... + 362393310.

It is an arithmetic number, because the mean of its divisors is an integer number (130125479400).

Almost surely, 2^{10963027200552} is an apocalyptic number.

10963027200552 is a gapful number since it is divisible by the number (12) 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 10963027200552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16656061363200).

10963027200552 is an abundant number, since it is smaller than the sum of its proper divisors (22349095525848).

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

10963027200552 is a wasteful number, since it uses less digits than its factorization.

10963027200552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31456 (or 31452 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 10963027200552 in words is "ten trillion, nine hundred sixty-three billion, twenty-seven million, two hundred thousand, five hundred fifty-two".