30552106530240 has 224 divisors, whose sum is σ = 107903408800320. Its totient is φ = 8137978675200.

The previous prime is 30552106530181. The next prime is 30552106530269. The reversal of 30552106530240 is 4203560125503.

30552106530240 is a `hidden beast` number, since 3 + 0 + 5 + 521 + 0 + 65 + 30 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30552106530195 and 30552106530204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5604960 + ... + 9618720.

It is an arithmetic number, because the mean of its divisors is an integer number (481711646430).

Almost surely, 2^{30552106530240} is an apocalyptic number.

30552106530240 is a gapful number since it is divisible by the number (30) 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 30552106530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53951704400160).

30552106530240 is an abundant number, since it is smaller than the sum of its proper divisors (77351302270080).

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

30552106530240 is a wasteful number, since it uses less digits than its factorization.

30552106530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4014668 (or 4014652 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 30552106530240 its reverse (4203560125503), we get a palindrome (34755666655743).

The spelling of 30552106530240 in words is "thirty trillion, five hundred fifty-two billion, one hundred six million, five hundred thirty thousand, two hundred forty".