530451981142272 has 1152 divisors, whose sum is σ = 1883755768688640. Its totient is φ = 144069746688000.

The previous prime is 530451981142271. The next prime is 530451981142327. The reversal of 530451981142272 is 272241189154035.

530451981142272 is a `hidden beast` number, since 5 + 3 + 0 + 4 + 51 + 98 + 11 + 422 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×530451981142272² (a number of 30 digits) contains 22 as substring.

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 (530451981142271) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35911710247 + ... + 35911725017.

It is an arithmetic number, because the mean of its divisors is an integer number (1635204660320).

Almost surely, 2^{530451981142272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530451981142272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941877884344320).

530451981142272 is an abundant number, since it is smaller than the sum of its proper divisors (1353303787546368).

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

530451981142272 is a wasteful number, since it uses less digits than its factorization.

530451981142272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15308 (or 15288 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 530451981142272 in words is "five hundred thirty trillion, four hundred fifty-one billion, nine hundred eighty-one million, one hundred forty-two thousand, two hundred seventy-two".