30695242560 has 448 divisors, whose sum is σ = 104522503680. Its totient is φ = 7618723840.

The previous prime is 30695242471. The next prime is 30695242601. The reversal of 30695242560 is 6524259603.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104761774 + ... + 104762066.

It is an arithmetic number, because the mean of its divisors is an integer number (233309160).

Almost surely, 2^30695242560 is an apocalyptic number.

30695242560 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 30695242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52261251840).

30695242560 is an abundant number, since it is smaller than the sum of its proper divisors (73827261120).

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

30695242560 is a wasteful number, since it uses less digits than its factorization.

30695242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 30695242560 in words is "thirty billion, six hundred ninety-five million, two hundred forty-two thousand, five hundred sixty".