10774454552400 has 1440 divisors, whose sum is σ = 45479669114880. Its totient is φ = 2153528832000.

The previous prime is 10774454552399. The next prime is 10774454552401. The reversal of 10774454552400 is 425545447701.

It is an interprime number because it is at equal distance from previous prime (10774454552399) and next prime (10774454552401).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10774454552400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10774454552401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5833488277 + ... + 5833490123.

It is an arithmetic number, because the mean of its divisors is an integer number (31583103552).

Almost surely, 2^{10774454552400} is an apocalyptic number.

10774454552400 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 10774454552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22739834557440).

10774454552400 is an abundant number, since it is smaller than the sum of its proper divisors (34705214562480).

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

10774454552400 is a wasteful number, since it uses less digits than its factorization.

10774454552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 3136000, while the sum is 48.

The spelling of 10774454552400 in words is "ten trillion, seven hundred seventy-four billion, four hundred fifty-four million, five hundred fifty-two thousand, four hundred".