2572755451200 has 504 divisors, whose sum is σ = 10014442963200. Its totient is φ = 621261619200.

The previous prime is 2572755451187. The next prime is 2572755451219. The reversal of 2572755451200 is 21545572752.

2572755451200 is a `hidden beast` number, since 2 + 5 + 7 + 27 + 554 + 51 + 20 + 0 = 666.

It is a super-2 number, since 2×2572755451200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40677201 + ... + 40740399.

Almost surely, 2^{2572755451200} is an apocalyptic number.

2572755451200 is a gapful number since it is divisible by the number (20) 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 2572755451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007221481600).

2572755451200 is an abundant number, since it is smaller than the sum of its proper divisors (7441687512000).

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

2572755451200 is a wasteful number, since it uses less digits than its factorization.

2572755451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63495 (or 63477 counting only the distinct ones).

The product of its (nonzero) digits is 980000, while the sum is 45.

The spelling of 2572755451200 in words is "two trillion, five hundred seventy-two billion, seven hundred fifty-five million, four hundred fifty-one thousand, two hundred".