30900485032560 has 2880 divisors, whose sum is σ = 132873514300800. Its totient is φ = 6388391116800.

The previous prime is 30900485032513. The next prime is 30900485032579. The reversal of 30900485032560 is 6523058400903.

30900485032560 is a `hidden beast` number, since 3 + 0 + 9 + 0 + 0 + 4 + 8 + 50 + 32 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 347196460996 + ... + 347196461084.

It is an arithmetic number, because the mean of its divisors is an integer number (46136636910).

Almost surely, 2^{30900485032560} is an apocalyptic number.

30900485032560 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 30900485032560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66436757150400).

30900485032560 is an abundant number, since it is smaller than the sum of its proper divisors (101973029268240).

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

30900485032560 is a wasteful number, since it uses less digits than its factorization.

30900485032560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 30900485032560 in words is "thirty trillion, nine hundred billion, four hundred eighty-five million, thirty-two thousand, five hundred sixty".