30214978560 has 1408 divisors, whose sum is σ = 130735503360. Its totient is φ = 6539968512.

The previous prime is 30214978531. The next prime is 30214978597. The reversal of 30214978560 is 6587941203.

30214978560 is a `hidden beast` number, since 3 + 0 + 2 + 14 + 9 + 78 + 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 127 ways as a sum of consecutive naturals, for example, 702673899 + ... + 702673941.

It is an arithmetic number, because the mean of its divisors is an integer number (92851920).

It is a 1-persistent number, because it is pandigital, but 2⋅30214978560 = 60429957120 is not.

Almost surely, 2^30214978560 is an apocalyptic number.

30214978560 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 30214978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65367751680).

30214978560 is an abundant number, since it is smaller than the sum of its proper divisors (100520524800).

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

30214978560 is a wasteful number, since it uses less digits than its factorization.

30214978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 30214978560 in words is "thirty billion, two hundred fourteen million, nine hundred seventy-eight thousand, five hundred sixty".