30253552560 has 1080 divisors, whose sum is σ = 137114817840. Its totient is φ = 5939619840.

The previous prime is 30253552501. The next prime is 30253552621. The reversal of 30253552560 is 6525535203.

30253552560 is a `hidden beast` number, since 3 + 0 + 2 + 53 + 552 + 56 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 81108534 + ... + 81108906.

Almost surely, 2^30253552560 is an apocalyptic number.

30253552560 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 30253552560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68557408920).

30253552560 is an abundant number, since it is smaller than the sum of its proper divisors (106861265280).

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

30253552560 is a wasteful number, since it uses less digits than its factorization.

30253552560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 30253552560 in words is "thirty billion, two hundred fifty-three million, five hundred fifty-two thousand, five hundred sixty".