5625553075200 has 1056 divisors, whose sum is σ = 22497283296000. Its totient is φ = 1372092825600.

The previous prime is 5625553075157. The next prime is 5625553075211. The reversal of 5625553075200 is 25703555265.

5625553075200 is a `hidden beast` number, since 5 + 6 + 2 + 5 + 553 + 0 + 75 + 20 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 380843815 + ... + 380858585.

Almost surely, 2^{5625553075200} is an apocalyptic number.

5625553075200 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 5625553075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11248641648000).

5625553075200 is an abundant number, since it is smaller than the sum of its proper divisors (16871730220800).

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

5625553075200 is a wasteful number, since it uses less digits than its factorization.

5625553075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14858 (or 14829 counting only the distinct ones).

The product of its (nonzero) digits is 1575000, while the sum is 45.

The spelling of 5625553075200 in words is "five trillion, six hundred twenty-five billion, five hundred fifty-three million, seventy-five thousand, two hundred".