30542638896 has 560 divisors, whose sum is σ = 114289256448. Its totient is φ = 7670246400.

The previous prime is 30542638891. The next prime is 30542638897. The reversal of 30542638896 is 69883624503.

30542638896 is a `hidden beast` number, since 3 + 0 + 542 + 6 + 3 + 8 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (30542638891) 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, 27841420 + ... + 27842516.

Almost surely, 2^30542638896 is an apocalyptic number.

30542638896 is a gapful number since it is divisible by the number (36) 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 30542638896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57144628224).

30542638896 is an abundant number, since it is smaller than the sum of its proper divisors (83746617552).

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

30542638896 is a wasteful number, since it uses less digits than its factorization.

30542638896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 30542638896 in words is "thirty billion, five hundred forty-two million, six hundred thirty-eight thousand, eight hundred ninety-six".