30520488960 has 1232 divisors, whose sum is σ = 128550388176. Its totient is φ = 6879707136.

The previous prime is 30520488941. The next prime is 30520488961. The reversal of 30520488960 is 6988402503.

30520488960 is a `hidden beast` number, since 3 + 0 + 520 + 48 + 89 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 361304064 + 30159184896 = 19008^2 + 173664^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30520488961) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 824878062 + ... + 824878098.

Almost surely, 2^30520488960 is an apocalyptic number.

30520488960 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 30520488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64275194088).

30520488960 is an abundant number, since it is smaller than the sum of its proper divisors (98029899216).

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

30520488960 is a wasteful number, since it uses less digits than its factorization.

30520488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 30520488960 in words is "thirty billion, five hundred twenty million, four hundred eighty-eight thousand, nine hundred sixty".