545270025024000 has 1120 divisors, whose sum is σ = 2108865345341040. Its totient is φ = 140391014400000.

The previous prime is 545270025023963. The next prime is 545270025024031. The reversal of 545270025024000 is 420520072545.

545270025024000 is a `hidden beast` number, since 5 + 45 + 2 + 70 + 0 + 2 + 502 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4836973273344 + 540433051750656 = 2199312^2 + 23247216^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1352822500 + ... + 1353225500.

Almost surely, 2^{545270025024000} is an apocalyptic number.

545270025024000 is a gapful number since it is divisible by the number (50) 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 545270025024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054432672670520).

545270025024000 is an abundant number, since it is smaller than the sum of its proper divisors (1563595320317040).

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

545270025024000 is an frugal number, since it uses more digits than its factorization.

545270025024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403081 (or 403040 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

Adding to 545270025024000 its reverse (420520072545), we get a palindrome (545690545096545).

The spelling of 545270025024000 in words is "five hundred forty-five trillion, two hundred seventy billion, twenty-five million, twenty-four thousand".