451520006120 has 64 divisors (see below), whose sum is σ = 1076902419600. Its totient is φ = 169790832640.

The previous prime is 451520006117. The next prime is 451520006167. The reversal of 451520006120 is 21600025154.

It can be written as a sum of positive squares in 8 ways, for example, as 46828094404 + 404691911716 = 216398^2 + 636154^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 451520006120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222236 + ... + 975924.

Almost surely, 2^451520006120 is an apocalyptic number.

451520006120 is a gapful number since it is divisible by the number (40) 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 451520006120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538451209800).

451520006120 is an abundant number, since it is smaller than the sum of its proper divisors (625382413480).

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

451520006120 is a wasteful number, since it uses less digits than its factorization.

451520006120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754598 (or 754594 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 451520006120 in words is "four hundred fifty-one billion, five hundred twenty million, six thousand, one hundred twenty".