553120340211104 has 288 divisors, whose sum is σ = 1178885538754560. Its totient is φ = 255307929440256.

The previous prime is 553120340211029. The next prime is 553120340211157. The reversal of 553120340211104 is 401112043021355.

It is a super-2 number, since 2×553120340211104² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132993587777 + ... + 132993591935.

It is an arithmetic number, because the mean of its divisors is an integer number (4093352565120).

Almost surely, 2^{553120340211104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553120340211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589442769377280).

553120340211104 is an abundant number, since it is smaller than the sum of its proper divisors (625765198543456).

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

553120340211104 is a wasteful number, since it uses less digits than its factorization.

553120340211104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5268 (or 5241 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 553120340211104 its reverse (401112043021355), we get a palindrome (954232383232459).

The spelling of 553120340211104 in words is "five hundred fifty-three trillion, one hundred twenty billion, three hundred forty million, two hundred eleven thousand, one hundred four".