30147652273200 has 480 divisors, whose sum is σ = 123202754138112. Its totient is φ = 6118761600000.

The previous prime is 30147652273121. The next prime is 30147652273201. The reversal of 30147652273200 is 237225674103.

It is a super-3 number, since 3×30147652273200³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (30147652273201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179325 + ... + 7767075.

Almost surely, 2^{30147652273200} is an apocalyptic number.

30147652273200 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 30147652273200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61601377069056).

30147652273200 is an abundant number, since it is smaller than the sum of its proper divisors (93055101864912).

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

30147652273200 is a wasteful number, since it uses less digits than its factorization.

30147652273200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7587833 (or 7587822 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 30147652273200 in words is "thirty trillion, one hundred forty-seven billion, six hundred fifty-two million, two hundred seventy-three thousand, two hundred".