553096657152 has 360 divisors, whose sum is σ = 1809656352504. Its totient is φ = 166968262656.

The previous prime is 553096657147. The next prime is 553096657207. The reversal of 553096657152 is 251756690355.

553096657152 is a `hidden beast` number, since 5 + 5 + 3 + 0 + 9 + 66 + 571 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 119837822976 + 433258834176 = 346176^2 + 658224^2 .

It is a super-2 number, since 2×553096657152² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14267748 + ... + 14306460.

Almost surely, 2^553096657152 is an apocalyptic number.

553096657152 is a gapful number since it is divisible by the number (52) 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 553096657152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904828176252).

553096657152 is an abundant number, since it is smaller than the sum of its proper divisors (1256559695352).

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

553096657152 is a wasteful number, since it uses less digits than its factorization.

553096657152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38807 (or 38784 counting only the distinct ones).

The product of its (nonzero) digits is 8505000, while the sum is 54.

The spelling of 553096657152 in words is "five hundred fifty-three billion, ninety-six million, six hundred fifty-seven thousand, one hundred fifty-two".