30546086400 has 180 divisors, whose sum is σ = 109316423502. Its totient is φ = 8145592320.

The previous prime is 30546086341. The next prime is 30546086407. The reversal of 30546086400 is 468064503.

30546086400 is a `hidden beast` number, since 3 + 0 + 5 + 4 + 6 + 0 + 8 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 29314918656 + 1231167744 = 171216^2 + 35088^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30546086407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17379 + ... + 247778.

Almost surely, 2^30546086400 is an apocalyptic number.

30546086400 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 30546086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54658211751).

30546086400 is an abundant number, since it is smaller than the sum of its proper divisors (78770337102).

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

30546086400 is a wasteful number, since it uses less digits than its factorization.

30546086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265191 (or 265167 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 30546086400 in words is "thirty billion, five hundred forty-six million, eighty-six thousand, four hundred".