30475913420160 has 1536 divisors, whose sum is σ = 125264927692800. Its totient is φ = 6981095227392.

The previous prime is 30475913420093. The next prime is 30475913420189. The reversal of 30475913420160 is 6102431957403.

30475913420160 is a `hidden beast` number, since 3 + 0 + 4 + 7 + 59 + 13 + 420 + 160 = 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 191 ways as a sum of consecutive naturals, for example, 2485186189 + ... + 2485198451.

It is an arithmetic number, because the mean of its divisors is an integer number (81552687300).

Almost surely, 2^{30475913420160} is an apocalyptic number.

30475913420160 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 30475913420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62632463846400).

30475913420160 is an abundant number, since it is smaller than the sum of its proper divisors (94789014272640).

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

30475913420160 is a wasteful number, since it uses less digits than its factorization.

30475913420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12377 (or 12346 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 30475913420160 in words is "thirty trillion, four hundred seventy-five billion, nine hundred thirteen million, four hundred twenty thousand, one hundred sixty".