30552465284640 has 960 divisors, whose sum is σ = 119535620472576. Its totient is φ = 7301433581568.

The previous prime is 30552465284639. The next prime is 30552465284687. The reversal of 30552465284640 is 4648256425503.

30552465284640 is a `hidden beast` number, since 3 + 0 + 5 + 52 + 4 + 6 + 528 + 4 + 64 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 1209842254 + ... + 1209867506.

Almost surely, 2^{30552465284640} is an apocalyptic number.

30552465284640 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 30552465284640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59767810236288).

30552465284640 is an abundant number, since it is smaller than the sum of its proper divisors (88983155187936).

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

30552465284640 is a wasteful number, since it uses less digits than its factorization.

30552465284640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25503 (or 25486 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 54.

The spelling of 30552465284640 in words is "thirty trillion, five hundred fifty-two billion, four hundred sixty-five million, two hundred eighty-four thousand, six hundred forty".