10552145254240 has 96 divisors (see below), whose sum is σ = 26400541797504. Its totient is φ = 3971870883840.

The previous prime is 10552145254207. The next prime is 10552145254279. The reversal of 10552145254240 is 4245254125501.

It is a super-2 number, since 2×10552145254240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10552145254193 and 10552145254202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15194272 + ... + 15873568.

It is an arithmetic number, because the mean of its divisors is an integer number (275005643724).

Almost surely, 2^{10552145254240} is an apocalyptic number.

10552145254240 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 10552145254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13200270898752).

10552145254240 is an abundant number, since it is smaller than the sum of its proper divisors (15848396543264).

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

10552145254240 is a wasteful number, since it uses less digits than its factorization.

10552145254240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685040 (or 685032 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 40.

Adding to 10552145254240 its reverse (4245254125501), we get a palindrome (14797399379741).

The spelling of 10552145254240 in words is "ten trillion, five hundred fifty-two billion, one hundred forty-five million, two hundred fifty-four thousand, two hundred forty".